Which graph shows the solution to the system of linear inequalities? x plus 3 y is greater than 6 y is greater than or equal to 2 x plus 4
Answer
A
Image with description A coordinate plane with two lines. The x-axis is labeled from negative 5 to 5, and the y-axis is labeled from negative 3 to 7. The first line is dashed, passes through the points 0 comma 2, and 6 comma 0, and has the region above it shaded. The second line is solid, passes through the points negative 2 comma 0, and 0 comma 4, and has the region above it shaded. The two shaded regions overlap in the upper left area of the graph.
B
Image with description A coordinate plane with two lines. The x-axis is labeled from negative 5 to 5 in increments of 1, and the y-axis is labeled from negative 3 to 7 in increments of 1. The first line is dashed, passes through the points 0 comma 2, and 3 comma 1, and has the region above it shaded. The second line is solid, passes through the points negative 2 comma 0, and 0 comma 4, and has the region above and to the left of it shaded. The two shaded regions overlap in the upper left area of the graph.
C
Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 in increments of 1, and the y-axis ranges from negative 3 to 7 in increments of 1. There are two straight lines on the graph. The first line is a dashed line that goes through the points (0 comma 2) and (3 comma 1). Everything above the dashed line is shaded. The second line is a solid line that goes through the points (negative 2 comma 0) and (0 comma 4). Everything to the left of the solid line is shaded.
D
Image with description A coordinate plane with two lines. The x-axis is labeled from negative 5 to 5, and the y-axis is labeled from negative 3 to 7. The first line is dashed, passes through the points 0, comma negative 2, and 3, comma negative 1, and has the region below it shaded. The second line is solid, passes through the points negative 2 comma 0, and 0 comma 4, and has the region to the left of it shaded. The two shaded regions overlap in the lower left area of the graph.