Solving Absolute Equations and Inequalities

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

|2a - 10| = 6

• a = 8, a = 5

• a = 2

• a = 8

• a = 8, a = 2

Solve:

|x + 3| > 8

• x > 5 or x < -11

• x > 5

• x < 5 or x > -11

• no solution

| 2w - 1 | < 11

• No Solution

• 5 < w < 6

• -5 < w < 6

• -6 < w < 5

2t - 3 | - 5 > 16

• No Solution

• All Real Numbers

• t < -2  or  t > 5

• -2 < t < 5

|v + 8| − 5 = 2

• No Solution

−2|−2r − 4| = -12

• No Solution

−8x| + 8 = 80

• No Solution

| x + 3 | ≤ 2

• No Solution

• All Real Numbers

• -5 ≤ x ≤ -1

• 1 ≤ x ≤ 5

Solve the absolute Value inequality and graph. 

• A

• B

• C

• D