4
QuizMultiple Choice

Solving Systems of Linear Inequalities — Quiz

Question 4 • Mathematics I

Which graph shows the solution to the system of linear inequalities? y is greater than or equal to 2 x plus 1 y is less than or equal to 2 x minus 2

Answer
A
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 7 to 3 in increments of 1. The first line is solid and goes through the points (negative 2 comma negative 3) and (0 comma 1). Everything to the left and right of the solid line is shaded in different colors. The second line is dashed goes through the points (0 comma negative 2) and (1 comma 0). Everything to the left and right of the dashed line is shaded in different colors.
B
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 7 to 3 in increments of 1. There are 2 solid lines on the graph. The first solid line goes through the points (-2,-3) and (0, 1). Everything to the left of the solid line is shaded. The second solid line goes through the points (0,-2) and (1,1). Everything to the right of the solid line is shaded.
C
Image with description A coordinate plane with the x-axis labeled from −5 to 5 and the y-axis labeled from −7 to 3. Two lines divide the plane. A solid blue line with arrowheads passes through approximately (-2, −3) and (0, 1). The region to the left of this solid blue line is shaded light blue. A dashed red line with arrowheads passes through approximately (0, −2) and (1, 1). The region to the right of this dashed red line is shaded tan.
D
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 7 to 3 in increments of 1. There are 2 solid lines on the graph. The first solid line goes through the points (negative 2 comma negative 3) and (0 comma 1). Everything to the left and the right of the solid line is shaded in different colors. The second solid line goes through the points (0 comma negative 2) and (1 comma 0). Everything to the left and right of the solid line is shaded in a different color.
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