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JAMB Mathematics 1984 Question 19

Question 19

Inequalities

In a racing competition Musa covered a distance of 5x km in the first hour and (x + 10)km in the next hour. He was second to Ngozi who covered a total distance of 118km in the two hours. Which of the following inequalities is correct?

  1. A.0 < −x < 15
  2. B.−3 ≤ x < 3
  3. C.15 < x < 18
  4. D.0 ≤ x < 15
  5. E.0 ≤ x < 18.
Show the answer and explanation

Answer: E (0 ≤ x < 18.)

Explanation

Musa covered less than Ngozi: 5x + x + 10 < 118, so 6x < 108 and x < 18. Distances cannot be negative, so 0 ≤ x < 18.