Inequalities, Compound Inequalities and Absolute Value Inequalities

| x - 6 | < 4
Is this an "and"  or an "or" problem?

• and
• or

What kind of compound inequality is this?

• AND compound inequality
• OR compound inequality

Solve:  -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3
• -1 < x < 3
• 1 < x < 3
• 1 ≤ x ≤ 3

Solve:  
3x + 2 < -4  or  4x + 4 > 24

• x < -2  or  x > 5 
• x < 2  or  x > 5
• x < -2  and  x > 5 
• x < 2  and  x > 5

26 ≤ 7n + 12 < 33

• 2 ≤ n < 3

• 3.7 ≤ n < 3

• 5.4 ≤ n < 6.4

• 4 ≤ n < 3

2x + 9 < 7 or -5x + 7 < -8

• x < -1 or x > 3

• x < 8 or x > 3

• x < -1 and x > 3

• x < 8 and x > 3

|x + 4| ≤ 8

• x ≤ 4 and x ≥ -12

• x ≤ 4 or x ≥ -12

• x ≤ 4 or x ≥ -4

• x ≤ 4 and x ≥ 12

|10 + 4x| < 14

• x < 1 and x > -6

• x < 1 or x > -6

• x < 6 and x > -6

• x < 1 or x > -1

|3x + 6| ≥ 15

• x ≥ 3 or x ≤ -3

• x ≤ 7 and x ≤ -3

• x ≥ 7 and x ≤ -7

• x ≤ -7 or x ≥ 3

|2x + 13| < 15

• x < 1 and x > -14

• x < 1 or x > -14

• x < 1 and x > -1

• x < 2 and x > -28