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Pre-Calculus Section 1.7 Inequalities

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## Pre-Calculus Section 1.7 Inequalities

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**Pre-CalculusSection 1.7 Inequalities**Objectives: To solve linear inequalities. To solve absolute value inequalities.**Solving an Inequality**To solve an inequality that contains a variable means to find all values of that variable that make the inequality true. • Unlike an equation, an inequality generally has infinitely many solutions. • These form an interval or a union of intervals on the number line.**Ex 1. Solve the inequality. Express the solution using**interval notation and graph the solution set. • 3x < 9x + 4 • 4 ≤ 3x – 2 < 13**Ex 2. Solve the absolute value inequality. Express the**solution using interval notation and graph the solution set. a) b)**Class Work**Solve, graph the solution set, and express the solution set in interval notation. • 5 – 3x ≤ -16 • -3 ≤ 3x + 7 ≤ ½ • 15x – 4 < 6