Question

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

y < -3/4x + 1
y > 2/3x - 3

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

graph 1 represent the solution set.

Explanation:

Given : y <
`(-3x)/(4) +1` and y >
`(2x)/(3) -3` .

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

Solution: We have given

For y <
`(-3x)/(4) +1` .

By the slope intercept form y = mx +b

Where m = slope , b = y intercept .

On comparing

slope =
`(-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 >
`(2x)/(3) -3` .

slope =
`(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.