Solve |2x - 3| = 7.
Answer and explanation
Correct answer: A. x = 5 or x = -2, from 2x - 3 = 7 and 2x - 3 = -7
- Step 1: An absolute value equation splits into two cases: 2x - 3 = 7 and 2x - 3 = -7. Step 2. These give x = 5 and x = -2; both check in the original equation. Answer: x = 5 or x = -2. Why not the others: each single case misses one valid solution.
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