Solving and Graphing Linear Inequalities

More Specific Topics in Solving and Graphing Linear Inequalities

Popular Tutorials in Solving and Graphing Linear Inequalities

    • How Do You Solve an OR Compound Inequality and Graph It On a Number Line?How Do You Solve an OR Compound Inequality and Graph It On a Number Line?

    How Do You Solve an OR Compound Inequality and Graph It On a Number Line?

    Trying to solve a compound inequality? No problem! This tutorial will take you through the process of splitting the compound inequality into two inequalities. Then you'll see how to solve those inequalities, write the answer in set builder notation, and graph the solution on a number line.

    • How Do You Solve a Word Problem Using an AND Compound Inequality?How Do You Solve a Word Problem Using an AND Compound Inequality?

    How Do You Solve a Word Problem Using an AND Compound Inequality?

    Word problems allow you to see math in action! This tutorial deals with turning a word problem into a compound inequality and solving that compound inequality to get the answer. Learn how in this tutorial!

    • How Do You Write an Equation for a Translation of an Absolute Value Function?How Do You Write an Equation for a Translation of an Absolute Value Function?

    How Do You Write an Equation for a Translation of an Absolute Value Function?

    Want to write an equation to translate the graph of an absolute value equation? This tutorial takes you through that process step-by-step! Take an absolute value equation and perform a vertical and horizontal translation to create a new equation. Watch it all in this tutorial.

    • How Do You Graph an Absolute Value Function?How Do You Graph an Absolute Value Function?

    How Do You Graph an Absolute Value Function?

    Graphing an absolute value equation can be complicated, unless you know how to dissect the equation to find and use the slope and translations. Follow along as this tutorial shows you how to identify the necessary parts of the equation and use them to graph the absolute value equation.

    • What is an Identity Inequality?What is an Identity Inequality?

    What is an Identity Inequality?

    And identity inequality is an inequality that it true no matter what values we plug in for the variable. Watch this tutorial and learn all about identity inequalities. Then see if you can make your own identity inequality complete with variables!

    • What Does It Mean When an Inequality is a Contradiction or Has No Solution?What Does It Mean When an Inequality is a Contradiction or Has No Solution?

    What Does It Mean When an Inequality is a Contradiction or Has No Solution?

    Can an inequality have no solution? You bet it can! An inequality has no solution will always give you a contradiction, no matter what value you plug in for the variable. Watch this tutorial, and then try to make your own inequality with no solution!

    • What Does the Constant 'k' do in y = |x|+k?What Does the Constant 'k' do in y = |x|+k?

    What Does the Constant 'k' do in y = |x|+k?

    When you're learning about translating absolute value equations, learning about vertical translations is a MUST! Check out this tutorial and see what it takes to translate an absolute value equation vertically.

    • What Does the Constant 'h' do in y = |x-h|?What Does the Constant 'h' do in y = |x-h|?

    What Does the Constant 'h' do in y = |x-h|?

    When you're learning about translating absolute value equations, learning about horizontal translations is a MUST! Check out this tutorial and see what it takes to translate an absolute value equation horizontally.

    • What is an Absolute Value Function?What is an Absolute Value Function?

    What is an Absolute Value Function?

    An absolute value function is just a function that contains absolute values. This tutorial gives a great introduction to this very useful function!

    • How Do You Figure Out a Situation That a Graph Represents?How Do You Figure Out a Situation That a Graph Represents?

    How Do You Figure Out a Situation That a Graph Represents?

    • How Do You Solve a Word Problem Using an Absolute Value Inequality?How Do You Solve a Word Problem Using an Absolute Value Inequality?

    How Do You Solve a Word Problem Using an Absolute Value Inequality?

    Word problems allow you to see math in action! This tutorial shows you how to translate a word problem to an absolute value inequality. Then see how to solve for the answer, write it in set builder notation, and graph it on a number line. Learn all about it in this tutorial!

    • How Do You Use Subtraction to Solve an Inequality Word Problem?How Do You Use Subtraction to Solve an Inequality Word Problem?

    How Do You Use Subtraction to Solve an Inequality Word Problem?

    Word problems allow you to see the real world uses of math! In this tutorial, learn how to translate a word problem into an inequality. Then see how to solve the inequality and understand the meaning of the answer.

    • How Do You Solve an Inequality Using Subtraction?How Do You Solve an Inequality Using Subtraction?

    How Do You Solve an Inequality Using Subtraction?

    Solving an inequality for a variable? Just perform the order of operations in reverse! Always make sure to follow the rules for solving an inequality!

    • How Do You Use Addition to Solve an Inequality Word Problem?How Do You Use Addition to Solve an Inequality Word Problem?

    How Do You Use Addition to Solve an Inequality Word Problem?

    Word problems allow you to see math in action! This tutorial deals with inequalities and money in a bank account. See how to translate a word problem into an inequality, solve the problem, and understand the answer. Take a look!

    • How Do You Solve an Inequality Using Addition?How Do You Solve an Inequality Using Addition?

    How Do You Solve an Inequality Using Addition?

    Solving an inequality for a variable? Just perform the order of operations in reverse! Always make sure to follow the rules for solving an inequality!

    • How Do You Use Division with Positive Numbers to Solve an Inequality Word Problem?How Do You Use Division with Positive Numbers to Solve an Inequality Word Problem?

    How Do You Use Division with Positive Numbers to Solve an Inequality Word Problem?

    This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Solve an Inequality with Positive Numbers Using Division?How Do You Solve an Inequality with Positive Numbers Using Division?

    How Do You Solve an Inequality with Positive Numbers Using Division?

    Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Use Division with Negative Numbers to Solve an Inequality Word Problem?How Do You Use Division with Negative Numbers to Solve an Inequality Word Problem?

    How Do You Use Division with Negative Numbers to Solve an Inequality Word Problem?

    This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Use Multiplication with Positive Numbers to Solve an Inequality Word Problem?How Do You Use Multiplication with Positive Numbers to Solve an Inequality Word Problem?

    How Do You Use Multiplication with Positive Numbers to Solve an Inequality Word Problem?

    This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Solve an Inequality with Positive Numbers Using Multiplication?How Do You Solve an Inequality with Positive Numbers Using Multiplication?

    How Do You Solve an Inequality with Positive Numbers Using Multiplication?

    Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Use Multiplication with Negative Numbers to Solve an Inequality Word Problem?How Do You Use Multiplication with Negative Numbers to Solve an Inequality Word Problem?

    How Do You Use Multiplication with Negative Numbers to Solve an Inequality Word Problem?

    This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Write an Absolute Value Inequality from a Word Problem?How Do You Write an Absolute Value Inequality from a Word Problem?

    How Do You Write an Absolute Value Inequality from a Word Problem?

    Sometimes the hardest part of a word problem is figuring out how to turn the words into math. This tutorial let's you see the steps to take in order to do just that! You'll see how to take a word problem and dissect it to turn it into an absolute value inequality.

    • How Do You Solve an Inequality with Negative Numbers Using Multiplication?How Do You Solve an Inequality with Negative Numbers Using Multiplication?

    How Do You Solve an Inequality with Negative Numbers Using Multiplication?

    Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Positive Fractions?How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Positive Fractions?

    How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Positive Fractions?

    This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Solve an Inequality Where You're Multiplying Positive Fractions?How Do You Solve an Inequality Where You're Multiplying Positive Fractions?

    How Do You Solve an Inequality Where You're Multiplying Positive Fractions?

    Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Negative Fractions?How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Negative Fractions?

    How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Negative Fractions?

    This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Solve an Inequality Where You're Multiplying Negative Fractions?How Do You Solve an Inequality Where You're Multiplying Negative Fractions?

    How Do You Solve an Inequality Where You're Multiplying Negative Fractions?

    Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Solve a Word Problem Using a Multi-Step Inequality?How Do You Solve a Word Problem Using a Multi-Step Inequality?

    How Do You Solve a Word Problem Using a Multi-Step Inequality?

    This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Solve a Multi-Step Inequality Using Reverse Order of Operations?How Do You Solve a Multi-Step Inequality Using Reverse Order of Operations?

    How Do You Solve a Multi-Step Inequality Using Reverse Order of Operations?

    Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Solve a Word Problem Using an Inequality With Variables on Both Sides?How Do You Solve a Word Problem Using an Inequality With Variables on Both Sides?

    How Do You Solve a Word Problem Using an Inequality With Variables on Both Sides?

    This tutorial provides a great real world application of math. See how to turn a word problem into an inequality. Then solve the inequality by performing the order of operations in reverse. Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Solve an Inequality With Variables on Both Sides?How Do You Solve an Inequality With Variables on Both Sides?

    How Do You Solve an Inequality With Variables on Both Sides?

    Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Solve an AND Compound Inequality by Rewriting as Two Inequalities?How Do You Solve an AND Compound Inequality by Rewriting as Two Inequalities?

    How Do You Solve an AND Compound Inequality by Rewriting as Two Inequalities?

    Trying to solve a compound inequality? No problem! This tutorial will take you through the process of splitting the compound inequality into two inequalities. Then you'll see how to solve those inequalities and write the answer in set builder notation.

    • How Do You Solve a Less Than Absolute Value Inequality and Graph It On a Number Line?How Do You Solve a Less Than Absolute Value Inequality and Graph It On a Number Line?

    How Do You Solve a Less Than Absolute Value Inequality and Graph It On a Number Line?

    Trying to solve an absolute value inequality? No sweat! This tutorial will take you through the process of solving the inequality. Then you'll see how to write the answer in set builder notation and graph it on a number line. You'll see it all in this tutorial!

    • How Do You Convert a Less Than Absolute Value Inequality to a Compound Inequality?How Do You Convert a Less Than Absolute Value Inequality to a Compound Inequality?

    How Do You Convert a Less Than Absolute Value Inequality to a Compound Inequality?

    Converting an absolute value inequality to a compound inequality can be tricky. Luckily, this tutorial takes you through the process step-by-step. Take a look! You'll be glad you did.

    • How Do You Solve an AND Compound Inequality and Graph It On a Number Line?How Do You Solve an AND Compound Inequality and Graph It On a Number Line?

    How Do You Solve an AND Compound Inequality and Graph It On a Number Line?

    Trying to solve a compound inequality? No sweat! This tutorial will take you through the process of solving the inequality. Then you'll see how to write the answer in set builder notation and graph it on a number line. You'll see it all in this tutorial!

    • How Do You Solve and Graph a Two-Step Inequality?How Do You Solve and Graph a Two-Step Inequality?

    How Do You Solve and Graph a Two-Step Inequality?

    Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Solve an Inequality with Negative Numbers Using Division?How Do You Solve an Inequality with Negative Numbers Using Division?

    How Do You Solve an Inequality with Negative Numbers Using Division?

    Solving an inequality for a variable? Just perform the order of operations in reverse! Don't forget that if you multiply or divide by a negative number, you MUST flip the sign of the inequality! That's one of the big differences between solving equalities and solving inequalities.

    • How Do You Figure Out if an Absolute Value Inequality is an AND or OR Compound Inequality?How Do You Figure Out if an Absolute Value Inequality is an AND or OR Compound Inequality?

    How Do You Figure Out if an Absolute Value Inequality is an AND or OR Compound Inequality?

    When does an absolute value inequality represent an AND compound inequality? When does it represent an OR compound inequality? This tutorial will give you the answer and show you using examples on a number line!

    • What's a Compound Inequality?What's a Compound Inequality?

    What's a Compound Inequality?

    Wondering what a compound inequality is? Then check out this tutorial! You'll learn the definition for a compound inequality and also see how it can be written in set builder notation. Take a look!

    • What's the Subtraction Property of Inequality?What's the Subtraction Property of Inequality?

    What's the Subtraction Property of Inequality?

    Ever wondered what rules you're allowed to follow when you're working with inequalities? Well, one of those rules is called the subtraction property of inequality, and it basically says that if you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well. Watch the tutorial to see how this looks in terms of algebra!

    • What's the Addition Property of Inequality?What's the Addition Property of Inequality?

    What's the Addition Property of Inequality?

    Ever wondered what rules you're allowed to follow when you're working with inequalities? Well, one of those rules is called the addition property of inequality, and it basically says that if you add a number from one side of an inequality, you have to add that same number from the other side of the inequality as well. Watch the tutorial to see how this looks in terms of algebra!

    • What's the Division Property of Inequality?What's the Division Property of Inequality?

    What's the Division Property of Inequality?

    Ever wondered what rules you're allowed to follow when you're working with inequalities? Well, one of those rules is called the division property of inequality, and it basically says that if you divide one side of an inequality by a number, you can divide the other side of the inequality by the same number. However, you have to be very careful about the direction of the inequality! Watch the tutorial to see how this looks in terms of algebra!

    • What's the Multiplication Property of Inequality?What's the Multiplication Property of Inequality?

    What's the Multiplication Property of Inequality?

    Ever wondered what rules you're allowed to follow when you're working with inequalities? Well, one of those rules is called the multiplication property of inequality, and it basically says that if you multiply one side of an inequality by a number, you can multiply the other side of the inequality by the same number. However, you have to be very careful about the direction of the inequality! Watch the tutorial to see how this looks in terms of algebra!

    • How Do You Graph a Greater Than Inequality on the Coordinate Plane?How Do You Graph a Greater Than Inequality on the Coordinate Plane?

    How Do You Graph a Greater Than Inequality on the Coordinate Plane?

    Graphing inequalities on the coordinate plane is not as difficult as you might think, especially if you know what to do! In this tutorial, you'll see the steps you need to follow to graph an inequality.

    • How Do You Figure Out Whether a Boundary is a Part of the Graph of an Inequality?How Do You Figure Out Whether a Boundary is a Part of the Graph of an Inequality?

    How Do You Figure Out Whether a Boundary is a Part of the Graph of an Inequality?

    Is the boundary part of the graph of an inequality? Here's a hint: the sign of the inequality holds the answer! Learn how to test and see if the boundary is part of the graph of an inequality by watching this tutorial.

    • How Do You Solve and Graph Inequalities from a Word Problem?How Do You Solve and Graph Inequalities from a Word Problem?

    How Do You Solve and Graph Inequalities from a Word Problem?

    Word problems are a great way to see the real world applications of math! In this tutorial, you'll see how to graph multiple inequalities to find the solution. Take a look!

    • What's a Boundary?What's a Boundary?

    What's a Boundary?

    If you graph an inequality on the coordinate plane, you end up creating a boundary. This boundary cuts the coordinate plane in half. In this tutorial, you'll learn about this kind of boundary!

    • What's a Half-Plane?What's a Half-Plane?

    What's a Half-Plane?

    If you graph an inequality on the coordinate plane, you end up creating a boundary that cuts the coordinate plane in half. Each of these halves is called a half-plane. Learn about half-planes by watching this tutorial!

    • How Do You Solve a Decimal Inequality Using Subtraction?How Do You Solve a Decimal Inequality Using Subtraction?

    How Do You Solve a Decimal Inequality Using Subtraction?

    To solve an inequality containing decimals for a variable, focus on isolating that variable on one side of the inequality. In this tutorial, you'll see how to subtract decimals in order to isolate the variable and find the answer to the inequality!

    • How Do You Solve a Decimal Inequality Using Addition?How Do You Solve a Decimal Inequality Using Addition?

    How Do You Solve a Decimal Inequality Using Addition?

    To solve an inequality containing decimals for a variable, focus on isolating that variable on one side of the inequality. In this tutorial, you'll see how to add decimals in order to isolate the variable and find the answer to the inequality!

    • How Do You Solve a Decimal Inequality Using Division?How Do You Solve a Decimal Inequality Using Division?

    How Do You Solve a Decimal Inequality Using Division?

    To solve an inequality containing decimals for a variable, focus on isolating that variable on one side of the inequality. In this tutorial, you'll see how to divide decimals in order to isolate the variable and find the answer to the inequality. Just be sure to follow the division property of inequality!

    • How Do You Solve an Inequality By Subtracting Fractions?How Do You Solve an Inequality By Subtracting Fractions?

    How Do You Solve an Inequality By Subtracting Fractions?

    To solve an inequality containing fractions, focus on isolating the variable on one side of the inequality. In this tutorial, you'll see how to subtract fractions with unlike denominators in order to isolate the variable and find the answer to the inequality!

    • How Do You Solve an Inequality By Adding Fractions?How Do You Solve an Inequality By Adding Fractions?

    How Do You Solve an Inequality By Adding Fractions?

    To solve an inequality containing fractions, focus on isolating the variable on one side of the inequality. In this tutorial, you'll see how to add fractions with unlike denominators in order to isolate the variable and find the answer to the inequality!

    • How Do You Solve a Decimal Inequality Using Division with Negative Numbers?How Do You Solve a Decimal Inequality Using Division with Negative Numbers?

    How Do You Solve a Decimal Inequality Using Division with Negative Numbers?

    To solve an inequality containing decimals for a variable, focus on isolating that variable on one side of the inequality. In this tutorial, you'll see how to divide decimals in order to isolate the variable and find the answer to the inequality. Just be sure to follow the division property of inequality!

    • How Do You Determine if an Ordered Pair is a Solution to a Linear Inequality?How Do You Determine if an Ordered Pair is a Solution to a Linear Inequality?

    How Do You Determine if an Ordered Pair is a Solution to a Linear Inequality?

    To see if an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution. Take a look at this tutorial and learn how to determine if an ordered pair is a solution to an inequality!

    • What is a Linear Inequality?What is a Linear Inequality?

    What is a Linear Inequality?

    A linear inequality is almost the same as a linear equation, except the equals sign is replaced with an inequality symbol. You'll find that a little more effort is needed to solve and graph a linear inequality, but it's nothing you can't handle! Check out this tutorial and get introduced to linear inequalities!

Related Topics

Other topics in Algebra 1: