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ExamsJEE AdvancedMaths

Solve for real x: |x - 3| = -1.

  1. No solution (empty set)
  2. x = 2
  3. x = 4
  4. x = 2 or x = 4

Correct answer: No solution (empty set)

Solution

Absolute value is always non-negative: |x - 3| >= 0. The right side is -1 < 0, so the equation has no real solution; the solution set is empty.

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