Question

Which graph represents the solution set to the system of inequalities?

Answer 1

It should be the top left because the shaded area is below (or less than) the line -3/4x +1 and greater than the other line

Answer 2

Answer:

graph 1 represent the solution set.

Step-by-step explanation:

Given  : y < $\frac{-3x}{4} +1$ and y > $\frac{2x}{3} -3$ .

To find : Which graph represents the solution set to the system of inequalities.

Solution: We  have given

For  y < $\frac{-3x}{4} +1$ .

By the slope intercept form y = mx +b

Where m = slope , b = y intercept .

On comparing

slope = $\frac{-3}{4}$ , b = 1 ( graph line cut at y axis at + 1)

Here we can see there is the less than sign show that graph would be dotted line shaded up.

For :  y > $\frac{2x}{3} -3$ .

slope = $\frac{2}{3}$ , y intercept = -3.

We can see  there is the greater than sign show that graph would be dotted line shaded down.

Therefore, graph 1 represent the solution set.