2.2 Solving Absolute Inequalities alg 2

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 + 4| − 8 > 2

• x > 6 and x < 10

• x > 6 or x < −14

• all real numbers

• no solution

Solve the following inequality:

−5|x − 4| > −20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

Solve the following inequality:

|10 + 4x| < 14

• x < 1 and x > −6

• x < 1 or x > −6

• x < 6 and x > −6

• x < 1 or x > −1

Solve the following inequality:

|3x + 6| ≥ 15

• x ≥ 3 or x ≤ −3

• x ≤ 7 and x ≤ −3

• x ≥ 7 and x ≤ −7

• x ≤ −7 or x ≥ 3

Solve the following inequality:

| 3x − 9 | < 3

• x < −10 or x > −2

• −10 < x < −2

• x < 2 or x > 4

• 2 < x < 4

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

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

• r > 11/4 or r < 9/4
• r > 5 or r ≤ 0
• r > 5 or r < 0
• r < -5 or r > 0