Which graph represents this system of inequalities?
y ≤ –3x – 2
y ≥ 2x + 1
(1 point)
A coordinate plane is shown with two solid boundary lines graphed with their intersection in the third quadrant. Overlapping shaded region includes the points (negative 1, 0), (negative 2, 1), and (negative 3, 4).One line passes through left-parenthesis negative 2 comma 4 right-parenthesis left-parenthesis negative 1 comma 1 right-parenthesis left-parenthesis zero comma negative 2 right-parenthesis left-parenthesis 1 comma negative 5 right-parenthesis. The other line passes through left-parenthesis 2 comma 5 right-parenthesis left-parenthesis 1 comma 3 right-parenthesis left-parenthesis zero comma 1 right-parenthesis left-parenthesis negative 1 comma negative 1 right-parenthesis left-parenthesis negative 2 comma negative 3 right-parenthesis left-parenthesis negative 3 comma negative 5 right-parenthesis.The area to the left of both lines is shaded gray.
Image with alt text: A coordinate plane is shown with two solid boundary lines graphed with their intersection in the third quadrant. Overlapping shaded region includes the points (negative 1, 0), (negative 2, 1), and (negative 3, 4). One line passes through left-parenthesis negative 2 comma 4 right-parenthesis left-parenthesis negative 1 comma 1 right-parenthesis left-parenthesis zero comma negative 2 right-parenthesis left-parenthesis 1 comma negative 5 right-parenthesis. The other line passes through left-parenthesis 2 comma 5 right-parenthesis left-parenthesis 1 comma 3 right-parenthesis left-parenthesis zero comma 1 right-parenthesis left-parenthesis negative 1 comma negative 1 right-parenthesis left-parenthesis negative 2 comma negative 3 right-parenthesis left-parenthesis negative 3 comma negative 5 right-parenthesis.The area to the left of both lines is shaded gray.
A system of equalities is graphed on a coordinate plane.A system of equalities is graphed on a coordinate plane. One line passes through left parenthesis negative 2 comma negative 3 right parenthesis and left parenthesis 0 comma 1 right parenthesis. The second line passes through left parenthesis negative 2 comma 4 right parenthesis and left parenthesis 0 comma negative 2 right parenthesis. The area above both lines at the top of the graph is shaded.
Image with alt text: A system of equalities is graphed on a coordinate plane. A system of equalities is graphed on a coordinate plane. One line passes through left parenthesis negative 2 comma negative 3 right parenthesis and left parenthesis 0 comma 1 right parenthesis. The second line passes through left parenthesis negative 2 comma 4 right parenthesis and left parenthesis 0 comma negative 2 right parenthesis. The area above both lines at the top of the graph is shaded.
A system of equalities is graphed on a coordinate plane.A system of equalities is graphed on a coordinate plane. One line passes through left parenthesis negative 2 comma negative 3 right parenthesis and left parenthesis 0 comma 1 right parenthesis. The second line passes through left parenthesis negative 2 comma 4 right parenthesis and left parenthesis 0 comma negative 2 right parenthesis. The area below both lines at the bottom of the graph is shaded.
Image with alt text: A system of equalities is graphed on a coordinate plane. A system of equalities is graphed on a coordinate plane. One line passes through left parenthesis negative 2 comma negative 3 right parenthesis and left parenthesis 0 comma 1 right parenthesis. The second line passes through left parenthesis negative 2 comma 4 right parenthesis and left parenthesis 0 comma negative 2 right parenthesis. The area below both lines at the bottom of the graph is shaded.
A coordinate plane is shown with two solid boundary lines graphed with their intersection in the third quadrant. Overlapping shaded region includes the points (0, 0), (2, 0), and (3, 3).
The correct graph that represents the system of inequalities y ≤ –3x – 2 and y ≥ 2x + 1 is:
A coordinate plane is shown with two solid boundary lines graphed with their intersection in the third quadrant. Overlapping shaded region includes the points (negative 1, 0), (negative 2, 1), and (negative 3, 4). One line passes through left-parenthesis negative 2 comma 4 right-parenthesis left-parenthesis negative 1 comma 1 right-parenthesis left-parenthesis zero comma negative 2 right-parenthesis left-parenthesis 1 comma negative 5 right-parenthesis. The other line passes through left-parenthesis 2 comma 5 right-parenthesis left-parenthesis 1 comma 3 right-parenthesis left-parenthesis zero comma 1 right-parenthesis left-parenthesis negative 1 comma negative 1 right-parenthesis left-parenthesis negative 2 comma negative 3 right-parenthesis left-parenthesis negative 3 comma negative 5 right-parenthesis.The area to the left of both lines is shaded gray.