Question

A dashed line passes through coordinates left parenthesis negative 3 comma 9 right parenthesis and left parenthesis 4 comma negative 5 right parenthesis. Another dashed line passes through coordinates left parenthesis negative 2 comma negative 9 right parenthesis and graphed point left parenthesis 3 comma 6 right parenthesis. The area between the lines but above the point of intersection is shaded. The area between the lines but below the point of intersection is filled with a line pattern. The area to the right of both lines is filled with a shaded lines pattern. The first graphed point has coordinates left parenthesis 1 comma negative 5 right parenthesis. The second graphed point has coordinates left parenthesis 2 comma 5 right parenthesis. The third graphed point has coordinates left parenthesis 3 comma 6 right parenthesis. The fourth graphed point has coordinates left parenthesis 10 comma 5 right parenthesis.
Which point is a solution for the simultaneous inequalities y > —2x + 3 and y < 3x - 3?
(1 point)
(2,5)
(3,6)
(10,5)
(1,-5)

Answer 1

(10, 5)

Check:
For (10,5): y > -2x + 3 → 5 > -20 + 3 = -17 (true).
y < 3x - 3 → 5 < 30 - 3 = 27 (true).

The other points fail one or both inequalities.