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UPCAT Mathematics practice question 31: Solve for x: |2x − 5| = 9

Correct answer

B. x = 7 or x = −2

Either 2x − 5 = 9, giving x = 7, or 2x − 5 = −9, giving x = −2.

The question

Solve for x: |2x − 5| = 9

  1. Option A: x = 7 only
  2. Option B: x = 7 or x = −2Correct
  3. Option C: x = 2 or x = −7
  4. Option D: x = −2 only

Why B is correct

Either 2x − 5 = 9, giving x = 7, or 2x − 5 = −9, giving x = −2.

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