Solve for x: |2x - 3| > 5

Model Answer & Options

Source: Extra Practice

(-1, 4)

(-∞, -1) ∪ (4, ∞)

(-∞, -4) ∪ (1, ∞)

[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.

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