Question

The solid line passes through coordinates left parenthesis negative 5 comma negative 5 right parenthesis and left parenthesis 0 comma 5 right parenthesis. The dashed line passes through coordinates left parenthesis negative 2 comma negative 5 right parenthesis and left parenthesis 2 comma 7 right parenthesis. The area to the left of the solid line is filled with a dot pattern. The area to the right of the dashed line is shaded. The area between the two lines is filled with a triangle pattern.
The first graphed point has coordinates left parenthesis negative 5 comma 5 right parenthesis. The second graphed point has coordinates left parenthesis negative 1 comma 2 right parenthesis. The third graphed point has coordinates left parenthesis 9 comma 5 right parenthesis.
Which of the points shown on the graph is a solution to the simultaneous inequalities y > 3x + 1 and y ≤ 2x + 5? Write the x-value first and the y-value second

Answer 1

(-1, 2)

Check: 2 > 3(−1)+1 = −2 (true) and 2 ≤ 2(−1)+5 = 3 (true).