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WAEC Further Mathematics 2022 Objective — Question 31

Question 31 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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Find the range of values of x for which 2x²+7x−15≥0.

  • A. x≥−5 or x≤3/2
  • B. x≤−5 or x≥3/2Correct
  • C. −5≤x≤3/2
  • D. −3/2≤x≤5

Explanation

Factoring: 2x²+7x−15 = (2x−3)(x+5). This is ≥0 when x≤−5 or x≥3/2.

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