Solving Absolute Value Inequalities

Solve the following inequality:

| x − 2 | > 3

• 2 < x < 10

• x < 2 or x > 10

• −1 < x < 5

• x < −1 or x > 5

Solve the following inequality:

| 2w − 1 | < 11

• No Solution

• All Real Numbers

• −5 < w < 6

• −6 < w < 5

Solve the following inequality:

| x + 1 | ≥ 3

• No Solution

• All Real Numbers

• x ≤ −4 or x ≥ 2

• −4 ≤ x ≤ 2

Solve the following inequality:

|x + 3| > − 8

• x > 5 or x < −11

• x > 5

• all real numbers

• no solution

• A

• B

• C

• D

Solve the inequality.

• A

• B

• C

• D

• no solution
• all real numbers 
• -2 ≤ n ≤ 16
• n ≤ -2 or n ≥ 16

Solve the inequality.

• A

• B

• C

• D

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers

Solve the inequality.

• A

• B

• C

• D