Source: Extra Practice
Solve for x: |2x - 3| > 5
Options
Option A
(-1, 4)
Option B is correct
(-∞, -1) ∪ (4, ∞)
Option C
(-∞, -4) ∪ (1, ∞)
Option D
[4, ∞)
Explanation
The inequality |x| > a means x > a or x 5 or 2x - 3 8 => x > 4. Solving the second: 2x x < -1. Combining these, we get x 4, which is (-∞, -1) ∪ (4, ∞). Option 1 is the solution for the reverse inequality (|2x-3| < 5). Option 4 is incomplete.