Which of the following systems of inequalities would produce the region indicated on the graph below

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.

c is the final answer! : )