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WAEC Mathematics 1999 Question 39

Question 39

Inequalities

Amina had m mangoes. She ate 3 and shared the remainder equally with her brother Uche. Each had at least 10. Which of the following inequalities represents the statements above.

  1. A.m/2 − 3 ≤ 10
  2. B.m/2 − 3 ≥ 10
  3. C.(m − 3)/2 ≥ 10
  4. D.(m − 3)/2 ≤ 10.
Show the answer and explanation

Answer: C ((m − 3)/2 ≥ 10)

Explanation

After eating 3 she has m − 3, and each share is (m − 3)/2. 'At least 10' means ≥ 10.