The solution set of the shaded area above is
Attached Figure / Diagram
A
y ≥ 0, y ≥ x and y + x ≤ 4
B
y ≤ x, y + x ≤ 4
C
y + x ≥ 4, y ≤ x
D
y ≤ x, y + x ≤ 4 and y ≥ 0
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
y = x implies y \le x
y + x = 4 implies y = 4 – x
∴y = 4 – x
∴y \le x, y + x \le 4 and y \ge 0
Source: Myschool Past Questions Archive (Record #9008)