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JAMB Mathematics 2012 Question 18

Question 18

Inequalities

The shaded region above is represented by the equation

Diagram for this question
  1. A.y ≤ 4x + 2
  2. B.y ≥ 4x + 2
  3. C.y ≤ −4x + 4
  4. D.y ≤ 4x + 4
Show the answer and explanation

Answer: C (y ≤ −4x + 4)

Explanation

The line through (0, 4) and (1, 0) is y = −4x + 4. The region on the origin side is below it, so y ≤ −4x + 4.