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

Inequality 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

Solution of an Inequality 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.

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

Graphing Inequalities 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 (<, >)

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

Writing Inequalities EX: Write an inequality for the graph.

Writing Inequalities Describe each situation using an inequality.

Application 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.

Assignment ODDS ONLY p. 168 #9-39