y ≤ -1/2x - 3
y ≥ -1/2x + 2
Which area on the graph, if any, represents the solution to the system?
A) A
B) B
C) C
D) No Solution
http://usatestprep.com/modules/gallery/files/9/946/946.png

Question

y ≤ -1/2x - 3
y ≥ -1/2x + 2
  Which area on the graph, if any, represents the solution to the system?
A)	A	
B)	B	
C)	C	
D)	No Solution
http://usatestprep.com/modules/gallery/files/9/946/946.png

anthonyym · Answer

The equations are in slope intercept form y = mx + b, and b is the y-intercept. 
So in y ≤ -1/2x - 3, -3 is the y-intercept, and in 
y ≥ -1/2x + 2, 2 is the y-intercept.

anthonyym · Answer

Can you figure out which line in the graph corresponds to which equation?

heart_offire · Answer

B i think, when i look at it all three make sense as if the equation is supposed to be parallel lines  @anthonyym

anthonyym · Answer

No it wouldn't be B. First you need to figure out which equation corresponds to which line. Then look at the inequality symbol to see if the solution region is above or below.

heart_offire · Answer

ok both should be solid lines

anthonyym · Answer

Yes, because of the equal to part. But do you know which equation corresponds to which line?

heart_offire · Answer

C goes for the top and A goes for the bottom equation ?

heart_offire · Answer

no solution because they dont intersect

anthonyym · Answer

Yes you are right with no solution but wrong with reasoning, because the solution is a region (because of inequality) and not a point.

heart_offire · Answer

okk thanks but why is  my reasoning off?