1. Inequality

2. Rational Inequality
x ­ 1
<0
(x ­ 2)(x + 3)
1. Place critical numbers on a number line
Critical Numbers: the zeros, and the values that make the
inequality undefined.

3. 10
8 9
­10 ­2 ­1 0 1 2
­9 ­8 ­7 ­6 ­5 ­4 ­3 3 4 5 6 7

4. Solve: x2 ­ 2x ­ 8 >
_ 0
x ­ 1

5. 10
8 9
­10 ­2 ­1 0 1 2
­9 ­8 ­7 ­6 ­5 ­4 ­3 3 4 5 6 7

6. 1
x
>
x + 2
x ­ 3

7. 10
8 9
­10 ­2 ­1 0 1 2
­9 ­8 ­7 ­6 ­5 ­4 ­3 3 4 5 6 7

8. Absolute Value Inequality
Graph y = x
Graph y = x

9. What will graph of
Graph y = x + 5
y = x + 5 look like?

10. <
_ 5
x ­ 2

11. Solve algebraically <
_ 5
x ­ 2

12. x
+1 _
<3
2

13. x
+1
Solve algebraically _
<3
2

14. Exercise 28
questions 6 ­ 12