Which graph shows the solution to the system of linear inequalities below?

Graph C is your answer

Step-by-step explanation:

Draw the following graph using the easy coordinates, those are were y axis is zero, and the other were x axis is 0:

First point is (1,0) and the other (0,2)

The entire region that belongs to your graph is greater than drawn line.

Draw another graph using the same easy coordinates.

First point is (0.5,0) and the other (0,-1)

The entire region that belongs to your graph is lesser than the drawn line.

When you merge those graphs into one, you can clearly see that they correspond to the C answer.

Graph A.

Step-by-step explanation:

The given inequalities are

The related equation of given inequalities are

The slope of line (1) is -2 and the y-intercept is 2.

The slope of line (2) is 2 and the y-intercept is -1.

Both related lines are dotted line because the points on the line are not included n the solution set.

Check each inequality by (0,0).

False statement

False statement

So, (0,0) is not included in the shaded area of any of these two inequities.

Therefore, graph A shows the solution to the system of linear inequalities.

answer: options

step-by-step explanation: