Absolute Value Equations Graphs Inequalities and Transformations

Write an inequality for Graph 4.

• -2 < x < 5

• x < -2 or x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5

| x | ≤ 3.5

• No Solution

• All Real Numbers

• -3.5 ≤ x ≤ 3.5

• x ≤ -3.5  or  x ≥ 3.5

| 2w - 1 | < 11

• No Solution

• All Real Numbers

• -5 < w < 6

• -6 < w < 5

Which compound inequality involves <, ≤ when solving absolute value inequalities?

• and

• or

Solve and graph:

• A

• B

• C

• D

Solve. 
5 + |3v| > 20 

• v>5 or v<-5

• v≥5 or v≤-5

• v>-5 or v<5

• all real numbers

Solve. 
-5|4 +n| < -15 

• n > 1 or n < -7

• n > -1 or n < -7

• -7 < n < -1

• no solution

Solve. 
| -x - 10| + 4 < -8 

• no solution

• x > 2 or x < -22

• -22 < x < 2

• all real numbers

-5|-n + 7| ≥ -45

• no solution

• all real numbers 

• -2 ≤ n ≤ 16

• n ≤ -2 or n ≥ 16

4|5x-2|+7>39

• -6/5 < x > 2

• x=2 or x=-6/5

• x=2 and x=-6/5

• x < -6/5 or x > 2