Question

The shaded region shown in the figure is given by the inequations: [height=5cm]{Screenshot 2026-05-01 102102.png}

• A. \( 14x + 5y \ge 70, \, y \le 14 \) and \( x - y \ge 5 \)
• B. \( 14x + 5y \le 70, \, y \le 14 \) and \( x - y \ge 5 \)
• C. \( 14x + 5y \ge 70, \, y \ge 14 \) and \( x - y \ge 5 \)
• D. \( 14x + 5y \ge 70, \, y \ge 14 \) and \( x - y \le 5 \)
• E. \( 14x + 5y \ge 70, \, y \le 14 \) and \( x - y \le 5 \)

Hint:

To quickly find the correct inequality, pick a point clearly inside the shaded region (e.g., \( (6, 10) \)) and see which set of inequalities it satisfies. This saves time compared to deriving every line equation from scratch.

Answer 1

Answer: (E)