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Inequalities

This topic covers the basic concepts of inequalities, ranging from writing inequalities to understanding the graphing of simple and compound inequalities.

Topic: Writing Inequalities

  • An inequality states that two quantities are either not equal or may not be equal

  • An inequality uses one of the following symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to)

Topic: Graphing Simple Inequalities

  • An inequality that contains a variable is an algebraic inequality. A value of the variable that makes the inequality true is a solution of the inequality

  • An inequality may have more than one solution. Together, all of the solutions are called the solution set

  • An open circle on the graph indicates that the corresponding number is not a part of the solution set

  • A closed circle on the graph indicates that the corresponding value is a part of the solution set

Topic: Graphing Compound Inequalities

  • A compound inequality is the result of combining two inequalities. The words ‘and’ and ‘or’ are used to describe how the two parts are related

  • An open circle on the graph indicates that the corresponding number is not a part of the solution set

  • A closed circle on the graph indicates that the corresponding value is part of the solution set
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