Question

identify the graph and describe the solution set of this system of inequalities y<-3/2x-10, y>-3/2x-2

Answer 1

Answer:

The system has no solution

Step-by-step explanation:

we have

$y < -\frac{3}{2}x-10$ ----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=-\frac{3}{2}x-10$

The slope of the dashed line is negative

The y-intercept of the dashed line is -10

The x-intercept of the dashed line is -20/3

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

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

The slope of the dashed line is negative

The y-intercept of the dashed line is -2

The x-intercept of the dashed line is -4/3

Using a graphing tool

The dashed lines are parallel

therefore

The system has no solution

see the attached figure