Chapter 1 - Fundamentals 1.7 - Inequalities. Rules for Inequalities 1.7 - Inequalities.

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Presentation transcript:

Chapter 1 - Fundamentals Inequalities

Rules for Inequalities Inequalities

Linear Inequalities An inequality is linear if each term is constant or a multiple of the variable. To solve a linear inequality we isolate the variable on one side of the inequality sign Inequalities

Example 1 – pg 80 # 20 Solve the linear inequality. Express the solution using interval notation and graph the solution set Inequalities

Example 2 – pg 80 # 30 Solve the linear inequality. Express the solution using interval notation and graph the solution set Inequalities

Nonlinear Inequalities Nonlinear inequalities are inequalities that involve squares or other powers of the variable other than Inequalities

Solving Nonlinear Inequalities Inequalities

Example 3 Solve the nonlinear inequality. Express the solution using interval notation and graph the solution set Inequalities

Absolute Value Inequalities We use the following properties to solve absolute value inequalities Inequalities

Example 4 – pg. 80 Solve the absolute value inequality. Express the answer using interval notation and graph the solution set Inequalities