# 3.1 Inequalities and Their Graphs - PowerPoint PPT Presentation

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

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3.1 Inequalities and Their Graphs

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## 3.1 Inequalities and Their Graphs

I can write, graph, and identify solutions of inequalities.

• 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

• 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

• Identify solutions to the inequality.

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

### Practice

• 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

• Graph the following inequalities:

• w < -3

• x ≥ 1

### You try!

EX: Write an inequality for the graph.

### Writing Inequalities

Describe each situation using an inequality.

### Writing Inequalities

• 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.

• ODDS ONLY

• p. 168 #9-39