Inequalities in One Variable, Including Absolute Value Ones.

Inequalities are similar to equations, just that they may have an infinite number of solutions. Have you tried to figure out why the inequality sign has to be reversed when you multiply or divide by a negative value? This lesson will teach you to solve one variable inequalities after you have reviewed the inequality properties. Now, here they come, compound inequalities. What is the difference between an "OR" inequality, and an "AND" inequality? How should I graph them? That is not problem. This lesson guides you through the different stages of setting up the solution for up to three inequalities forming one compound inequality. Finally, you are going to learn how to use this knowledge in solving absolute value inequalities.

Lesson's Content

Lesson's Glossary

Absolute value:  Distance of a number from zero on a number line. The distance is taken as positive all the time. For a variable: If x < 0 then –a; if x>=0 then a.

Equivalent inequality:  An inequality that has the same solution set as a given inequality.

Graph of an inequality:   The graph representing all the numbers in the solution set of the sentence.

Inequality:  A statement formed by placing an inequality symbol between numerical or variable expressions.

Inequality symbols:  Symbols used to show the order of two real numbers.

Sides of an inequality:   The two expressions at both sides of the inequality sign in an inequality. Left and right.

Terms:  A form of grouping one or more numerical and/or variable factors by means of multiplication and division.

Variable: A letter used to represent a number. When the variable is part of an equation, it is possible to find the value for which it stands for by solving the equation. This is the solution (s) of the equation.

Variable expression: Any expression containing one or more variables.

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