Solving Inequalities

Solve the following inequality:

| x − 2 | > 3

• 2 < x and x < 10

• x < 2 or x > 10

• −1 < x or x < 5

• x < −1 or x > 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 each inequality.

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Solve.

• a > -24
• a > 6
• a > -36
• a > -10

Solve:
3(x - 2) < 2(x + 9)

• x<24
• x>12
• x<12
• x>24

-p − 4p > -10

• p > -2
• p > 2
• p < -2
• p < 2

-3x − 4 < 5

• x > -3

• x < -3

• x < 3

• x > 3

• x < -20

• x > -20

• x > 20

• x < 20

25 < X - 10

• X > 35
• X < 35
• X > -35
• X < -35