Engineering Board Exam Reviewer · Inequalities and Absolute Value · medium

Solve |x+2|=2x-1.

1. -0.33
2. 1
3. 5
4. 3

Answer

D. 3

Solution

Case 1: x+2=2x-1 x=3, and 2x-1=5≥0, valid. Case 2: x+2=-(2x-1) 3x=-1 x=- 13, but then 2x-1<0, which is impossible for an absolute value. So x=3.

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