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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Inequalities and Comparing Real Numbers
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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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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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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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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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Solving Inequalities Using Division
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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 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!
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Solving Multi-Step Inequalities
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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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Further Exploration
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Writing Absolute Value Inequalities
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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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Solving Absolute Value Inequalities
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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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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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