Which shows the graph of the solution set of 3y – 2x > –18?

Step-by-step explanation:

We are given with a linear equation   . We have to draw this inequality.

In order to draw this inequality , we have to first draw the graph of

Let us do it , by converting the equation into intercept form, and find the x and y intercepts.

Divide both side, each term by -18 , we get

Hence our x intercept = 9

y intercept = -6

Hence the line passes through the coordinates (9,0) and (0,-6). We now plot them on graph and draw our line.

Now we have to check which region to shade.

Our inequality is given as

Let us see whether (0,0) satisfies this inequality. For that we need to substitute them in our equation.

Which is true .

Hence , we shade the region which is containing (0,0) . Also our line need to be broken as it is containing > sign in it.