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

Answer 1

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.

Answer 2

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

Answer 3

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

Answer 4

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.

Answer 5

ok both should be solid lines

Answer 6

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

Answer 7

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

Answer 8

no solution because they dont intersect

Answer 9

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

Answer 10

okk thanks but why is my reasoning off?