Solving for Absolute Value

| x – 3 |= 0

• 3

• -3

• {-3, 3}

• no solution

−2|−2r − 4| = -12

• {3,1}

• {-5,1}

• {-5,5}

• No Solution

• 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

• n > 1 or n < -7
• n > -1 or n < -7
• -7 < n < -1
• no solution

| x - 2 | > 3

• 2 < x < 10

• x < 2 or x > 10

• -1 < x < 5

• x < - 1 or x > 5

Solve for x.

• x ≥ -3.33 and x ≤ 2

• x > -3.33 and x < 2

• x ≥ -3.33 or x ≤ 2

• x > -3.33 or x < 2

Solve for v.

• v ≥ -6 and v ≤ -4

• v > -6 and v < -4

• v ≥ -6 or v ≤ -4

• v > -6 or v < -4

Solve for x.

• x ≥ -13 and x ≤ -3

• x > -13 and x < -3

• x ≥ -13 or x ≤ -3

• x > -13 or x < -3