1. 6.1 Solving one-step linear inequalities

2. Notes
Graph of linear inequalities: one variable is set of points on a number line representing all solutions of the inequality.
When dividing or multiplying by negative number, switch inequality sign.
Ex: -2x < 6
-2x > 6

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

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

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

6. Solve inequalities n + 8 > 3 x – 8 < 23 10 ≥ y + 4

7. Solve and Graph Inequalities
x + 4 < 5
m + 8 ≥ 12
z – 15 ≥ 65
h + 19 < 15

8. Inequality (division)
2x > -8
-7s ≤ 14
5a < 35
5z ≥ -65

9. Student Examples 9a < 36 12x ≤ -60 6z < 66 -7s > -84 4m ≥ -60
-16k > 32

10. Inequality (multiplication)

11. Inequality (multiplication)
B / 7 > 21
N / -3 ≥ -5
d/-11 ≤ 6
t/9 > 12
c/8 ≥ 3
u/5 < 12

12. Word Problem
You need at least $15 more to buy a stereo. Write an inequality that describes how much money you need s. Graph the inequality.

13. Word problem
Maria is 15 years old. Let A represent the age of Maria’s younger brother. Write and graph the inequality for A.

14. Word Problem
During a bitter cold week in January, the temperature in Seattle Washington, did not exceed 10 degrees. Write and graph an inequality that describes the temp. T.

15. Wrap up
Questions/Comments
Hw: Text pg. 337, #’s: 8-13, evens,