Which graph shows the solution to the system of linear inequalities? x minus 4 y is less than or equal to 4 y is less than x plus 1
Answer
A
Image with description A coordinate plane with two straight lines and two shaded regions. The x-axis and y-axis are each labeled from negative 5 to 5 in increments of 1. A solid straight line with a positive slope passes through the origin and extends from approximately the point negative 3 comma negative 3 to the point 3 comma 3, with an arrow at each end. A dashed straight line with a steeper positive slope also passes near the origin and extends from approximately the point negative 2 comma negative 5 to the point 2 comma 5, with an arrow at each end. The region between the two lines to the upper left is shaded, and the region outside both lines to the lower right is shaded, with the two shaded regions meeting near the origin.
B
Image with description A coordinate plane with two straight lines and two shaded regions. The x-axis and y-axis are each labeled from negative 5 to 5 in increments of 1. A solid straight line with a positive slope passes through the origin and extends from approximately the point negative 3 comma negative 3 to the point 3 comma 3, with an arrow at each end. A dashed straight line with a steeper positive slope also passes near the origin and extends from approximately the point negative 2 comma negative 5 to the point 2 comma 5, with an arrow at each end. The region above the dashed line to the upper left is shaded, and the region below the solid line to the lower right is shaded, with the two shaded regions not overlapping near the origin.
C
Image with description A coordinate plane with a parabola. The x-axis is labeled from negative 10 to 10 in increments of 2 and the y-axis is labeled from negative 10 to 10 in increments of 2. A parabola opens upward with its vertex at approximately the point 4 comma 0 on the x-axis, with the left side of the parabola rising steeply to approximately the point 2 comma 8 and the right side rising to approximately the point 6 comma 4, with arrows at both ends indicating the parabola continues beyond the top of the plane.
D
Image with description A coordinate plane with two straight lines and two shaded regions. The x-axis and y-axis are each labeled from negative 5 to 5 in increments of 1. A solid straight line with a positive slope passes through the origin and extends from approximately the point negative 3 comma negative 3 to the point 3 comma 3, with an arrow at each end. A dashed straight line with a steeper positive slope also passes near the origin and extends from approximately the point negative 2 comma negative 5 to the point 2 comma 5, with an arrow at each end. The region between the two lines to the lower right is shaded, and the region outside both lines to the upper left is shaded, with the two shaded regions meeting near the origin.