1. DO NOW (Warm-up)
Add the following word to your vocabulary section of your notebook (for Ch. 3)
1. Solution of an inequality: any number that makes an inequality true

2. 3-1 Inequalities and their graphs

3. ? 3-1 Inequalities and Their Graphs
Table of contents
Page # topic date
? Inequalities and Their Graphs 1

5. >
<
Is more than
Minimum
Is smaller than
Maximum
Is greater than
At least
Is less than
At most
Is larger than
Is not less than
Below
Not more than
Above
Not smaller than
Is not greater than
Exceeds
Greater than or equal to
Less than or equal to

6. Write an inequality to represent the verbal expression
All real numbers x less than or equal to -7

7. Write an inequality to represent the verbal expression
6 less than a number k is greater than 13

8. You try! Write an inequality to represent the verbal expression
A. all real numbers p greater than or equal to 1.5
B. the sum of t and 7 is less than -3

9. What about my answer?
A solution of an inequality is any number that makes the inequality true.
Always written as an inequality!

10. Is -3 a solution of 2x+1>-3? What about -1?
How is the solution of the equation 2x+1=-3 related to the solutions of the inequality?

11. You try!
Consider the numbers -1, 0, 1, and 3. Which are solutions to 13−7𝑦≤6?

12. Graph the following inequalities
-2 > x

13. When to use each type of circle
Open circle: < or >
This shows that the number that the circle is on is NOT a solution
Closed circle: < or >
This shows that the number the circle is on IS a solution

14. Rewrite the following so x is on the other side

15. What is the graph of 2 > a?
Step 1: rewrite so a is first
Step 2: open or closed circle?
Step 3: draw the arrow

16. You try! What is the graph of x > -4?
Step 1: rewrite so x is first (this is already done)
Step 2: open or closed circle?
Step 3: draw the arrow

17. You try! What is the graph of c < 0?
Step 1: rewrite so c is first (this is already done)
Step 2: open or closed circle?
Step 3: draw the arrow

18. You try! What is the graph of 3 < n?
Step 1: rewrite so n is first
Step 2: open or closed circle?
Step 3: draw the arrow

19. What inequality represents the graph?

20. YOU TRY. What inequality represents the graph?

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

22. What inequality describes the situation? Be sure to define a variable.
Does this really include all real numbers less than or equal to 8? Explain.

23. Is the number 7 part of the solution set of x > -2
Is the number 7 part of the solution set of x > -2? What about x < 5?