Find the coordinates of the vertices of the figure formed by each system of inequalities.
y + x ≥ –4
y ≥ x – 6

3y + x ≤ 10

a(1, –5), (–14, 8), (–11, 7)

b(1, 5), (7, 1), (11, 7)

c(1, 7), (–11, 1), (7, –5)

d(1, –5), (7, 1), (–11, 7)

D(1, –5), (7, 1), (–11, 7)

Step-by-step explanation:

The given inequalities are:

y + x ≥ –4

y ≥ x – 6

3y + x ≤ 10

We graph the inequalities as shown in the attachment.

The coordinates of the vertices of the figure formed by the given system of inequalities are:

(1, –5), (7, 1), (–11, 7)

The correct choice is D.

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