Answer:
graph 1 represent the solution set.
Step-by-step explanation:
Given : y < [tex]\frac{-3x}{4} +1[/tex] and y > [tex]\frac{2x}{3} -3[/tex] .
To find : Which graph represents the solution set to the system of inequalities.
Solution: We have given
For y < [tex]\frac{-3x}{4} +1[/tex] .
By the slope intercept form y = mx +b
Where m = slope , b = y intercept .
On comparing
slope = [tex]\frac{-3}{4}[/tex] , 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 > [tex]\frac{2x}{3} -3[/tex] .
slope = [tex]\frac{2}{3}[/tex] , 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.
