Real math help.
How Do You Solve and Graph a Two-Step Inequality?
Note:
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.
Background Tutorials
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Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.
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What's an Inequality?
Inequalities come up all the time when you're working algebra problems. In this tutorial you'll learn what an inequality is, and you'll see all the common inequality symbols that you're likely to see :)
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Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
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What's the Order of Operations?
Check out this tutorial where you'll see exactly what order you need to follow when you simplify expressions. You'll also see what happens when you don't follow these rules, and you'll find out why order of operations is so important!
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Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
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How Do You Graph an Inequality or an Infinite Set on a Number Line?
Number lines are really useful in visualizing an inequality or a set. In this tutorial, you'll see how to graph both. Take a look!
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Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.
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How Do You Write Inequalities in Set Builder Notation?
Need some extra practice converting solution phrases into set builder notation? This tutorial was made for you! Follow along as this tutorial shows you how to dissect each phrase and turn it into a solution in set builder notation.
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Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
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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.
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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.
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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 i
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Further Exploration
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Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
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How Do You Solve a Word Problem Using an AND 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!
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Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
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How Do You Solve an AND 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!
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How Do You Convert an AND 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.
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