system of inequalities

Question

(TEXT GRAPH) coordinate plane with a solid line through points (0, 9) and (1, 5). A dashed line passes through points (0, -1) and (1, 0). There is yellow shading above the solid line and blue shading below the dashed line. The shading turns green in the overlap.

 

Choose one answer.

A. 4x + y 9
x - y < 1
 

B. 4x + y < 9
x - y 1
 

C. 4x + y 9
x - y > 1
 

D. 4x + y > 9
x - y 1

Answer 1

May, I can't read the problem very well, but let's see if I can still help.

 

The easiest way to do this is to graph your two lines using the points given. Remember that a dashed line means that the points along the line are not included, so you have < or >.  A solid line means you have < or >.

 

After you've graphed what you have, with the shading, pick a point in the shaded area, any point.

 

If the x and y from the point fit both equations, then it works.  If not, then try another choice.

 

Hope this helps!