Which graph represents this system of inequalities?

y ≤ 2x + 3
3x + y ≤ –2
(1 point)

A coordinate plane is shown with two solid boundary lines graphed with their intersection in the second quadrant. Overlapping shaded region includes the points (negative 1, 0), (negative 2, negative 3), and (0, negative 5).The first line goes from left-parenthesis negative 3 comma negative 3 right-parenthesis to left-parenthesis 0 comma 3 right-parenthesis. The second line goes through the points left-parenthesis negative 2 comma 4 right-parenthesis and left-parenthesis 0 comma negative 2 right-parenthesis. The coordinate plane is shaded below the first line and to the left of the second line.
Image with alt text: A coordinate plane is shown with two solid boundary lines graphed with their intersection in the second quadrant. Overlapping shaded region includes the points (negative 1, 0), (negative 2, negative 3), and (0, negative 5). The first line goes from left-parenthesis negative 3 comma negative 3 right-parenthesis to left-parenthesis 0 comma 3 right-parenthesis. The second line goes through the points left-parenthesis negative 2 comma 4 right-parenthesis and left-parenthesis 0 comma negative 2 right-parenthesis. The coordinate plane is shaded below the first line and to the left of the second line.

A coordinate plane is shown with two solid boundary lines graphed with their intersection in the second quadrant. Overlapping shaded region includes the points (negative 4, 4), (negative 3, 3), and (negative 2, 0).The first line goes from left-parenthesis negative 3 comma negative 3 right-parenthesis to left-parenthesis 0 comma 3 right-parenthesis. The second line goes through the points left-parenthesis negative 2 comma 4 right-parenthesis and left-parenthesis 0 comma negative 2 right-parenthesis. The coordinate plane is shaded above the first line and to the left of the second line.
Image with alt text: A coordinate plane is shown with two solid boundary lines graphed with their intersection in the second quadrant. Overlapping shaded region includes the points (negative 4, 4), (negative 3, 3), and (negative 2, 0). The first line goes from left-parenthesis negative 3 comma negative 3 right-parenthesis to left-parenthesis 0 comma 3 right-parenthesis. The second line goes through the points left-parenthesis negative 2 comma 4 right-parenthesis and left-parenthesis 0 comma negative 2 right-parenthesis. The coordinate plane is shaded above the first line and to the left of the second line.

A coordinate plane is shown with two solid boundary lines graphed with their intersection in the second quadrant. Overlapping shaded region includes the points (negative 2, 5), (negative 1, 2), and (0, 4).The first line goes from left-parenthesis negative 3 comma negative 3 right-parenthesis to left-parenthesis 0 comma 3 right-parenthesis. The second line goes through the points left-parenthesis negative 2 comma 4 right-parenthesis and left-parenthesis 0 comma negative 2 right-parenthesis. The coordinate plane is shaded above the first line and to the right of the second line.
Image with alt text: A coordinate plane is shown with two solid boundary lines graphed with their intersection in the second quadrant. Overlapping shaded region includes the points (negative 2, 5), (negative 1, 2), and (0, 4). The first line goes from left-parenthesis negative 3 comma negative 3 right-parenthesis to left-parenthesis 0 comma 3 right-parenthesis. The second line goes through the points left-parenthesis negative 2 comma 4 right-parenthesis and left-parenthesis 0 comma negative 2 right-parenthesis. The coordinate plane is shaded above the first line and to the right of the second line.

A coordinate plane is shown with two solid boundary lines graphed with their intersection in the second quadrant. Overlapping shaded region includes the points (0, 1), (1, 1), and (2, 0).The first line goes from left-parenthesis negative 3 comma negative 3 right-parenthesis to left-parenthesis 0 comma 3 right-parenthesis. The second line goes through the points left-parenthesis negative 2 comma 4 right-parenthesis and left-parenthesis 0 comma negative 2 right-parenthesis. The coordinate plane is shaded below the first line and to the right of the second line.
Image with alt text: A coordinate plane is shown with two solid boundary lines graphed with their intersection in the second quadrant. Overlapping shaded region includes the points (0, 1), (1, 1), and (2, 0). The first line goes from left-parenthesis negative 3 comma negative 3 right-parenthesis to left-parenthesis 0 comma 3 right-parenthesis. The second line goes through the points left-parenthesis negative 2 comma 4 right-parenthesis and left-parenthesis 0 comma negative 2 right-parenthesis. The coordinate plane is shaded below the first line and to the right of the second line.
Skip to navigation

The correct graph that represents the system of inequalities is the one described in the second paragraph:

"A coordinate plane is shown with two solid boundary lines graphed with their intersection in the second quadrant. Overlapping shaded region includes the points (negative 1, 0), (negative 2, negative 3), and (0, negative 5). The first line goes from left-parenthesis negative 3 comma negative 3 right-parenthesis to left-parenthesis 0 comma 3 right-parenthesis. The second line goes through the points left-parenthesis negative 2 comma 4 right-parenthesis and left-parenthesis 0 comma negative 2 right-parenthesis. The coordinate plane is shaded below the first line and to the left of the second line."