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JAMB Mathematics 1982 Question 27

Question 27

Inequalities

Determine the real numbers x satisfying x(3/x + x) > 2

  1. A.x > −1
  2. B.x < 1
  3. C.All real numbers x
  4. D.x > 2
  5. E.x < −1.
Show the answer and explanation

Answer: C (All real numbers x)

Explanation

Expanding gives 3 + x² > 2, i.e. x² > −1, which is true for every real x (x ≠ 0 so that 3/x is defined).