Which graph shows the solution to the system of linear inequalities? 2x -3y ≤ 12 y < -3

The third graph (the one on the right side)

Step-by-step explanation:

The inequalities are:

2x -3y ≤ 12

y < -3

First, for the second inequality, we can see that y must be strictly less than -3, so we should see a dotted line at y = 3, and a shaded section under that line.

From this, we can discard the second graph (the middle one).

The first inequality can be rewritten as:

2x - 3y ≤ 12

-3y ≤ 12 - 2x

Now we divide by -3 on both sides, as we are dividing by a negative number, the direction of the ≤ sign changes:

y ≥ (12/-3) + (-2/-3)x = -4 + (2/3)*x

This means that the shaded section must be above the line:

y = -4 + (2/3)*x

Then the correct option is the third graph (rightmost graph).

you need to show the graph

step-by-step explanation:

the correct answer is the second option