Pre-Calculus Section 1.7 Inequalities

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# Pre-Calculus Section 1.7 Inequalities - PowerPoint PPT Presentation

Pre-Calculus Section 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.

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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