1. 3-1 Inequalities and their Graphs

2. An inequality is a mathematical sentence that uses an inequality symbol to compare the values of two expressions Solution of an Inequality: any number that makes the inequality true <𝑳𝒆𝒔𝒔 𝒕𝒉𝒂𝒏 >𝑮𝒓𝒆𝒂𝒕𝒆𝒓 𝒕𝒉𝒂𝒏 ≤𝑳𝒆𝒔𝒔 𝒕𝒉𝒂𝒏 𝒐𝒓 𝒆𝒒𝒖𝒂𝒍 𝒕𝒐 ≥𝑮𝒓𝒆𝒂𝒕𝒆𝒓 𝒕𝒉𝒂𝒏 𝒐𝒓 𝒆𝒒𝒖𝒂𝒍 𝒕𝒐
Open Circle
Closed Circle

3. Problem 1: Writing Inequalities
What inequality represents the verbal expression?
All real numbers x less than or equal to –7

4. What inequality represents the verbal expression?
6 less than a number k is greater than 13

5. Problem 2: Identifying Solutions by Evaluating
13−7𝑦≤6 –1 1

6. Problem 3: Graphing an Inequality
What is the graph of 2≥𝑎

7. What is the graph of 𝑥>−4

8. What is the graph of 𝑐<0

9. What is the graph of 3≤𝑛

10. Problem 4: Writing an Inequality from the Graph
What inequality represents the graph?

11. Problem 4: Writing an Inequality from the Graph
What inequality represents the graph?

12. Problem 5: Writing Real-World Inequalities
What inequality describes the situation? Be sure to define a variable.

13. What inequality describes the situation? Be sure to define a variable.