June 2025 Paper 2 Q3

AQACurrent spec1 markQuadratics

3 The diagram shows the graph with equation \(y = (x + 2)(x - 7)\)

U-shaped parabola crossing the x-axis at −2 and 7, with its minimum below the x-axis

Solve the inequality.

\[(x + 2)(x - 7) \gt 0\]

Tick (✓) one box. [1 mark]

  • \(x \in (-\infty, -2) \cap (7, \infty)\)
  • \(x \in (-\infty, -2) \cup (7, \infty)\)
  • \(x \in (-\infty, -2] \cap [7, \infty)\)
  • \(x \in (-\infty, -2] \cup [7, \infty)\)