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

2. 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

3. 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.

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

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 (<, >)

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

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

8. Writing Inequalities
Describe each situation using an inequality.

9. 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.

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