1. 8.6 Inequalities
Objective: Students will be able to write an inequality given a statement. They will then be able to graph an inequality on a number line.

2. Information Inequality: inequality sign instead of = sign.
Signs of inequality
< less than
> greater than
≥ greater/equal to
≤ less/equal to
Solution of inequality: numbers that prove inequality.

3. Graphing Inequalities
4 Graphing Tips:
< or > open circle Ex:
≤ or ≥ closed circle Ex:
at most or no more than = ≤
at least = ≥

4. Write inequalities
Stadium can seat up to 52,000. John can eat more than 6 slices of pizza.
I hit at most 12 home runs. Jake can eat more than 20 candy bars. A cat weighs less than 10 pounds.

5. Writing Inequalities Greatest weight person can lift is 220lbs.
John ate more than 53 m&m’s.
I average at least 23pts a game.
Save at least $50 on coupon
Tow truck can tow up to 7700 lbs.
The DVD cost s more than $14.

6. Check solutions
Check to see if the numbers are solutions to the following inequality.
5x > 4 4 -2 8 5

7. St. Solutions
Which numbers are solutions:
-5x < 30 -9 3 5 6

8. Graphing Inequalities
x < 5
m ≥ 12
z ≥ -6
h < 15

9. Graphing Inequalities
x < 10
m ≥ 1
z ≥ -2
h < 5

10. Graphing compound inequalities
x > 7 and x ≤ 12
c < 3 or c > 10

11. Given the graph, write an inequality

12. Quiz Write an inequality showing I have at least six hats.
Draw a number line and then graph y ≥ 6
Write an inequality for the problem below:

13. Wrap up
Questions/Comments
Hw: worksheet