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Solve |2x - 3| + 4 = 2 for real x.

1. no solution
2. x = 3/2
3. x = 1/2 or x = 5/2
4. x = -1/2

Correct answer: no solution

Solution

Isolating gives |2x - 3| = -2. Since an absolute value is always >= 0, it can never equal -2. Therefore there is no real solution.

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