3.1 Inequalities and Their Graphs

1. 3.1 Inequalities and Their Graphs I can write, graph, and identify solutions of inequalities.

2. A mathematical sentence that contains <, >, ≤, ≥, or =. • Represents situations that involve minimum or maximum amounts. • Uses the terms “at least” or “at most” • Sometimes contains a variable • Ex: x ≥ 2 Inequality

3. Any value that makes the inequality true. • Ex: 6, 8, and 15 are some of the solutions to x ≥ 6 since it is true that 6 ≥ 6, 8 ≥ 6, and 15 ≥ 6. Solution of an Inequality

4. Identify solutions to the inequality. • Tell whether each number is a solution to the inequality x – 1 ≤ 2; -3, 0, 3, 4.5 Practice

5. Use a closed circle when the inequality includes “equal to” (≤, ≥, =) • Use an open circle when the inequality is strictly less than or strictly greater than (<, >) Graphing Inequalities

6. Graph the following inequalities: • w < -3 • x ≥ 1 You try!

7. EX: Write an inequality for the graph. Writing Inequalities

8. Describe each situation using an inequality. Writing Inequalities

9. To be labeled sugar free, a food product must contain less than 0.5 g of sugar per serving. Write an inequality to describe this requirement. Application

10. ODDS ONLY • p. 168 #9-39 Assignment