Real math help.
How Do You Solve a Word Problem Using an AND Absolute Value Inequality?
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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!
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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Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation.
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What Does Absolute Value Mean?
In this tutorial you'll see how you can think of absolute value in a very intuitive way. Let us know if you have any questions about it!
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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 is a Variable?
You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!
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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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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 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!
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Further Exploration
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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 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.
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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!
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