Answer:
option D
Step-by-step explanation:
In the given graph 4 lines have been used.
(1) First one is x = 0
(2) second is y = 0
(3) Third line is y = -x + y
(4) Fourth line is y = x + 2
Now we have to tell the inequalities which form the colored area.
(1) y axis is a solid line with colored area on the right side so y ≥ 0 is the inequality.
(2) x axis is a solid line with colored area upwards so x ≥ 0 is the second inequality.
(3) Colored area is below the solid line y = -x + y so inequality will be y ≤ ( -x +4 ).
(4) Colored area is below the dotted line y = x + 2 so the inequality representing the colored area will be y< x + 2
System of inequalities will be x ≥ 0, y ≥ 0, y < x + 2 and y ≤ (-x + 4)
Therefore, option D is the answer.
