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

Which of the following systems of inequalities would produce the region indicated-example-1

2 Answers

2 votes

Answer: D

Explanation:

User Denis Hoctor
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3 votes

Answer:

option D

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.

User Jonah Braun
by
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