1. WU 36 Solve: 1. |x – 4| = 9 |7x – 2| = 5 |3x – 2| + 4 = 21
Write the inequality shown: 4. 5. -3 2 -4 4

2. 9.4 Inequalities and Absolute Value

3. 2 Cases |A| >b Disjunction A<-b or A>b |A| <b Conjunction
Case 1: Less Than
Case 2: Greater Than
|A| <b
Conjunction
-b<A<b
|A| >b
Disjunction
A<-b or A>b

4. Solve and graph: |x + 2|  5 x + 2 = -5 x + 2 = 5 x = 3 x = -7
 8  7  6  5  4  3  2 
To solve an inequality of the form |A| < b, where b is a positive number, we solve the conjunction –b < A < b.

5. Solve and graph: |4x - 10| > 2
 8  7  6  5  4  3  2 
Solve for both end points.
Write solution as disjunction (x< 2 or x > 6)

6. Solve and graph: |3x - 8|  5 3x - 8 = 5 3x = 13
 8  7  6  5  4  3  2 
To solve an inequality of the form |A| > b, where b is a positive number, we solve the disjunction A < -b or A > b.

7. Solve and graph: |3x|  18 x = 6 x = -6 -6  x  6
 8  7  6  5  4  3  2 
To solve an inequality of the form |A| < b, where b is a positive number, we solve the conjunction –b < A < b.

8. Solve and graph: |3x – 4 |  2 x = 2 2/3  x  2
 8  7  6  5  4  3  2 

9. Solve and graph: |4x – 9 |  7 x = 4
 8  7  6  5  4  3  2 

10. Solve and graph: |3x +4 |  19 x = 5
 8  7  6  5  4  3  2 

11. Solve and graph: |7x + 4 |+ 6  2
 8  7  6  5  4  3  2 

12. Solve :

13. Assignment: Page 415 (2-38) even