Question

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

Answer 1

Graph C is your answer

Explanation:

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

`y=-2x+2`

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.

`y=2x-1`

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.

Answer 2

Graph A.

Explanation:

The given inequalities are

`y>-2x+2`

`y<2x-1`

The related equation of given inequalities are

`y=-2x+2`

`y=2x-1`

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).

`0>-2(0)+2\Rightarrow 0>2` False statement

`0<2(0)-1\Rightarrow 0<-1` 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.