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JAMB Mathematics 2001 Question 12

Question 12

Inequalities

Find the integral values of x and y satisfying the inequality 3y + 5x ≤ 15, given that y > 0, y < 3 and x > 0.

  1. A.(1,1), (2,1), (1,3)
  2. B.(1,1), (1,2), (1,3)
  3. C.(1,1), (1,2), (2,1)
  4. D.(1,1), (3,1), (2,2)
Show the answer and explanation

Answer: C ((1,1), (1,2), (2,1))

Explanation

y can only be 1 or 2. For x = 1, 3y ≤ 10 allows y = 1, 2; for x = 2, 3y ≤ 5 allows y = 1; for x = 3, no positive y works. So the points are (1,1), (1,2), (2,1).