Question

Which of the following systems of inequalities represents the graph? A coordinate plane containing a solid boundary line with a y-intercept at 4, a slope of 2, and shading above the boundary line. There is a second dashed boundary line with a y-intercept at 2, a slope of negative 1, and shading below the boundary line. The overlapping shaded region contains points such as negative 4, 0 and negative 5, 2.A solid line passes through the points left-parenthesis 0 comma 4 right-parenthesis and left-parenthesis 2 comma 8 right-parenthesis. The region above the line is shaded red. A dotted line passes through the points left-parenthesis 0 comma 2 right-parenthesis and left-parenthesis 2 comma 0 right-parenthesis. The region below the line is shaded blue. A region of the coordinate plane is shaded both red and blue. (1 point) Responses y ≤ 2x + 4 y ≥ –x + 2 y ≤ 2 x + 4 y ≥ –x + 2 2x – y ≥ 4 y < –x + 2 2 x – y ≥ 4 y < –x + 2 y ≥ 2x + 4 –x + y ≤ 2 y ≥ 2 x + 4 – x + y ≤ 2 –2x + y ≥ 4 x + y < 2 –2 x + y ≥ 4 x + y < 2

Answer 1

y ≤ 2x + 4
y ≥ –x + 2