Question

The data points are labeled at left parenthesis negative 6 comma 0 right parenthesis, left parenthesis 2 comma 5 right parenthesis, left parenthesis negative 10 comma negative 2 right parenthesis, and left parenthesis negative 4 comma negative 2 right parenthesis. A solid line passes through left parenthesis negative 12 comma negative 2 right parenthesis and left parenthesis 3 comma 3 right parenthesis. A dashed passes through left parenthesis negative 12 comma negative 4 right parenthesis and left parenthesis 0 comma 4 right parenthesis. Both the lines intersect at left parenthesis negative 6 comma 0 right parenthesis. The area enclosed by both lines at the bottom right is shaded with a lined pattern; the area enclosed by both lines at the bottom left is shaded with a lined pattern, and the area enclosed by both lines at the top right is shaded. All values are approximate.

Which point on the graph is a solution to the simultaneous inequalities y ≤ (1/3)x + 2 and y < (2/3)x + 4
(1 point)
(2,5)
(-10, - 2)
(-6,0)
(-4, -2)

Answer 1

(-4, -2)

Check: y ≤ (1/3)x + 2 → -2 ≤ (1/3)(-4)+2 = 2/3 (true).
y < (2/3)x + 4 → -2 < (2/3)(-4)+4 = 4/3 (true).