Question

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

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y < -\frac{3}{4}x+1$-----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=\frac{3}{4}x+1$

The slope of the dashed line is negative

The y-intercept of the dashed line is (0,1)

The x-intercept of the dashed line is (4/3,0)

$y > \frac{2}{3}x-3$-----> inequality B    

The solution of the inequality B is the shaded area above the dashed line $y=\frac{2}{3}x-3$

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,-3)

The x-intercept of the dashed line is (4.5,0)

using a graphing tool

The graph in the attached figure