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WAEC Mathematics 1998 Question 9

Question 9

Inequalities

p and q are two positive numbers such that p > 2q. Which one of the following statements is not true?

  1. A.−p < −2q
  2. B.−p > −2q
  3. C.−q < 2p
  4. D.q < ½p
  5. E.p2 > 2q2.
Show the answer and explanation

Answer: B (−p > −2q)

Explanation

Multiplying p > 2q by −1 reverses the sign: −p < −2q, so −p > −2q is false.