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JAMB Mathematics 1999 Question 13

Question 13

Inequalities

The shaded portion in the graph above is represented by

Diagram for this question
  1. A.y + x − x3 ≥ 0, y − x ≤ 0
  2. B.y − x + x3 ≥ 0, y − x ≤ 0
  3. C.y + x − x3 ≤ 0, y + x ≥ 0
  4. D.y − x + x3 ≤ 0, y + x ≥ 0
Show the answer and explanation

Answer: A (y + x − x3 ≥ 0, y − x ≤ 0)

Explanation

The curve is y = x³ − x and the line is y = x (45°). The shaded part is above the curve (y + x − x³ ≥ 0) and below the line (y − x ≤ 0).