Which system of inequalities is represented by the graph?
A coordinate plane is shown with two solid boundary lines. One line has a y intercept of 4 and a slope of 2. The other line has a y intercept of negative 6 and a slope of negative 1. They intersect in the third quadrant. Overlapping shaded region includes the points (0, 2), (3, 0), and (negative 1, negative 4).
The horizontal axis extends from negative 7 to 1.
The vertical axis extends from negative 5 to 4.
A line passes through the points negative 4 comma negative 4 and negative 3 comma 0.
A second line passes through the points negative 6 comma 0 and negative 2 comma negative 4.
The region right of the point of intersection between the two lines is shaded grey.
(1 point)
Responses
Y less-than-or-equal-to negative 2 x plus 4 and Y greater-than-or-equal-to x minus 6
Image with alt text: Y less-than-or-equal-to negative 2 x plus 4 and Image with alt text: Y greater-than-or-equal-to x minus 6
Y less-than-or-equal-to 2 x plus 4 and Y greater-than-or-equal-to negative x minus 6
Image with alt text: Y less-than-or-equal-to 2 x plus 4 and Image with alt text: Y greater-than-or-equal-to negative x minus 6
Y less-than-or-equal-to 2 x minus 4 and Y greater-than-or-equal-to negative x minus 6
Image with alt text: Y less-than-or-equal-to 2 x minus 4 and Image with alt text: Y greater-than-or-equal-to negative x minus 6
Y less-than-or-equal-to 2 x plus 4 and Y greater-than-or-equal-to negative x plus 6
Image with alt text: Y less-than-or-equal-to 2 x plus 4 and Image with alt text: Y greater-than-or-equal-to negative x plus 6
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The correct system of inequalities represented by the graph is:
Y ≤ 2x + 4
Y ≥ -x - 6