Question

Part B: select the box or boxes under the coordinate pairs the represent solutions for the system.

Answer 1

The given system of inequalities is

`\begin{gathered} y>(3)/(2)x-2 \\ y\leq-3x-4 \end{gathered}`

The area of the solution is the area shaded by the 2 colors

Let us check the points

(-2, -5) it lies on the red dashed line

Since the line is dashed, then the points lie on it do not belong to the solution, then

(-2, -5) does not belong to the solution

(-2, -5) is not a solution

(-2, 2) it lies on the blue line

Since the line is solid, then the points that lie on it belong to the solution, then

(-2, 2) is a solution

(0, -4) it is out of the area of both colors, then

(0, -4) is not a solution

(-3, -1) it lies in the area of the common colors, then

(-3, -1) is a solution

(-1, 4) it is out the area of both colors, then

(-1, 4) is not a solution

(-20, 15) is in the area of the common colors, then

(-20, 15) is a solution

(15, 20) it is out the area of both colors, then

(15, 20) is not a solution

Then the solutions of the system are:

(-2, 2), (-3, -1), (-20, 15)