Absolute Value Equations and Inequalities Practice

What's a way to define absolute value?

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number

Solve |x – 12| - 3 = 11.

• -2, -26
• -2, 26
• 3, 25
• 4, -7

| x + 2 | > 5

• x < - 7 or x > 3
• x > 7 or x < 3
• x < -7 and x > 3
• x > -3 and x < 7

Solve:

3 | 2x + 7| - 7 < -4

• -4 < x < -3

• x < -4 or x > -3

• all real numbers

• no solution

• -3 < x < -5/3

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5
• x = 2 and x = -1
• x = -2 and x = 9
• No Solution

Solve for x
3 l 4w−1 l −5 = 10

• x = 1.5 and x =-1
• x = -1.5 and x = 1
• x =1 and x = -1
• No Solution

| n + 2 | - 3 ≥ -6

• No Solution
• All Real Numbers
• n ≤ -5  or  n ≥ 1
• -5 ≤ n ≤ 1