Which graph shows the solution to the system of linear inequalities? y is less than or equal to 2 x minus 5 y is greater than negative 3 x plus 1
Answer
A
Image with description A coordinate plane with two lines and two shaded regions. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 5 to 5 in increments of 1. The letter y labels the vertical axis at the top and the letter x labels the horizontal axis at the right. A solid blue line with a positive slope passes through the origin and extends from the lower left to the upper right, reaching approximately negative 2 comma negative 4 at the lower end and 4 comma 5 at the upper end. A dashed red line with a steep negative slope passes through the upper portion of the left side of the plane, extending from approximately 0 comma 4 at the top downward to 2 comma negative 5 at the bottom. The region to the left of the dashed red line is shaded, covering the left side of the plane. A smaller triangular region near the lower right, bounded by the two lines and below the x-axis, is also shaded.
B
Image with description A coordinate plane with two lines. The x and y axes are labeled from negative 5 to 5 in increments of 1. The first line is dashed, passes through the points 0, comma 1, and 1 comma negative 2, and has the region below it shaded. The second line is solid, passes through the points 0, comma negative 5, and 2, comma negative 1, and has the region below it shaded. The two shaded regions overlap in the lower right area of the graph.
C
Image with description A coordinate plane with two lines. The x and y axes are labeled from negative 5 to 5 in increments of 1. The first line is dashed, passes through the points 0, comma 1, and 1 comma negative 2, and has the region below and to the right of it shaded. The second line is solid, passes through the points 0 comma negative 5 and 2, comma negative 1, and has the region below and to the right of it shaded. The two shaded regions overlap in the lower right area of the graph.
D
Image with description A coordinate plane with two lines. The x and y axes are labeled from negative 5 to 5 in increments of 1. The first line is dashed, passes through the points 0, comma 1, and 1 comma negative 2, and has the region below it shaded. The second line is solid, passes through the points 0 comma negative 5 and 2, comma negative 1, and has the region below it shaded. The two shaded regions overlap in the lower right area of the graph.