Solving/Interpreting Linear Inequalities in One Variable Absolute Value

• 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

| x - 2 | > 3

• 2 < x < 10
• x < 2 or x > 10
• -1 < x < 5
• x < - 1 or x > 5

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

Solve for x.

• -3.33 ≤ x ≤ 2

• -3.33 < x < 2

• x ≥ -3.33 or x ≤ 2
• x > -3.33 or x < 2

Solve for v.

• -6 ≤ v ≤ -4

• -6 < v < -4

• v ≥ -6 or v ≤ -4
• v > -6 or v < -4

Solve for x.

• -13 ≤ x ≤ -3

• -13 < x < -3

• x ≥ -13 or x ≤ -3
• x > -13 or x < -3

| 2w - 1 | < 11

• No Solution
• All Real Numbers
• -5 < w < 6
• -6 < w < 5

| x + 1 | ≥ 3

• No Solution
• All Real Numbers
• x ≤ -4  or  x ≥ 2
• -4 ≤ x ≤ 2