Exams › JEE Main › Maths
Solve for real x: |x| - 2|x + 1| + 3|x + 2| = 0.
- x = -2 only
- no real solution
- x = -1 and x = -2
- x = 0
Correct answer: x = -2 only
Solution
An absolute-value equation is solved piecewise across the points where each modulus changes sign; a candidate root counts only if it falls within the interval used to derive it.
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