Solve |2x − 1| = 5.
Answer and explanation
Correct answer: A. x = 3 or x = −2, from 2x − 1 = 5 and 2x − 1 = −5
- Step 1: An absolute value equation splits into two cases. Step 2. 2x − 1 = 5 gives x = 3 and 2x − 1 = −5 gives x = −2. Answer: x = 3 or x = −2. Why not the others: Both cases must be solved, and the second must use −5.
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