This document discusses absolute value inequalities and their graphs. It introduces the graphs of y=|x| and y=|x|+5, then asks what the graph of y=|x+5| would look like. It shows how to solve the inequality x-2<5 graphically and algebraically, and provides an example of solving the inequality x+1<3/2 algebraically as well. Finally, it lists practice questions 6 through 12 as an exercise.

1. Absolute Value Inequality
Graph y = x Graph y = x
1

2. Graph y = x + 5 What will graph of
y = x + 5 look like?
2

3. 3

4. 4

5. 5

6. Solve graphically x ­ 2 <
_ 5
6

7. 7

8. Solve algebraically x ­ 2 <
_ 5
8

9. x
+ 1 _
< 3
2
9

10. Exercise 28
questions 6 ­ 12
10