Question

Which graph represents the solution set to the system of inequalities?

y ≤ 2x + 2
1/2x + y < 7
y − 3 ≥ 0

Answer 1

D.

Explanation:

y ≤ 2x + 2 ⇒ 2x → line increasing, ≤ → solid line, y≤ → shade below line

¹/₂x + y < 7

y < -¹/₂x + 7 ⇒ -¹/₂x → line decreasing, < → dashed line, y< → shade below line

y − 3 ≥ 0

y ≥ 3 ⇒ 0x → line parallel to X-axis, ≥ → solid line, y≥ → shade above line