Choose the system of inequalities that matches the graph below.

Question

coordinate plane with a dashed line through points (0, -1) and (1, 4). Another dashed line passes through points (0, 2) and (1, -1). There is yellow shading above the first dashed line and blue shading above the second dashed line. The shading turns green in the overlap

 

Choose one answer.
A. y >(line underneath)5x - 1
y>(line underneath) -3x + 2
 

B. y<(line underneath) 5x - 1
y<(line underneath) -3x + 2
 

C. y > 5x - 1
y > -3x + 2
 

D. y < 5x - 1
y < -3x + 2

Answer 1

May, let's do this thing.

 

First, dashed lines mean that we have < or > and not < or >.  The "or equal to" gives us a solid line.  A and B are ruled out automatically.

 

Since the shading is above both lines, this tells us that our solutions are greater than the line.  Shading below the line means less than the line.

 

So, our answer is C.  The green section will fulfill both solutions.

 

Want to be sure?  Pick a point in the green section and plug in the x and y to both equations and it will work.

 

Hope this helps!