Absolute Value Inequalities

|x| > 7 Is this an "and" or an "or"?

• And

• Or

What inequality is shown in the picture?

• -8 < x < -2

• x > -8 or x < -2

• -8 < x > -2

• x < -8 or x > -2

Solve: |x+5| < 9

• x < 4 and x > -14

• x > -14 or x < 4

• x < - 4 and x > 4

• x > -4 or x < 14

Solve: |2x + 4| > 10

• x > -7 and x < 3

• -3 < x < 3

• x < -3 or x > 3

• x < -7 or x > 3

Which inequality matches this graph?

• x > -1 or x < 2

• -1< x > 2

• -1 < x < 2

• -1 > x < 2

|2x| ≤ 14; Is this an AND or an OR?

• AND

• OR

Solve.
|y - 4| ≥ 8

• y ≤ -4 or y ≥ 12
• -4 ≤ y ≤ -12
• y ≤ 4 or y ≥ -12

Solve.
|p + 3| ≥ 10

• p ≤ -13 or p ≥ 7
• -7 ≤ p ≤ 13
• p ≤ -7 or p ≥ 13

Solve.
|y - 1| ≤ 6

• y ≤ -7 or y ≥ 5
• y ≤ -5 or y ≥ 7