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JAMB Mathematics 2011 Question 18

Question 18

Inequalities

Which of the following diagrams represents the solution of the inequalities y ≤ x − 2 and y ≥ x2 − 4?

Diagram for this question
  1. A.Diagram A
  2. B.Diagram B
  3. C.Diagram C
  4. D.Diagram D
Show the answer and explanation

Answer: A (Diagram A)

Explanation

The points must be on or below the line y = x − 2 and on or above the parabola y = x2 − 4. That is the region inside the parabola's bowl and under the line, between x = −1 and x = 2, which is shaded in A.