SOLUTION: I am having trouble with this test point method. Any help would be greatly appreciated. Graph the system of inequalities using the test point method.: y < -x y > -3

Algebra ->  Linear-equations -> SOLUTION: I am having trouble with this test point method. Any help would be greatly appreciated. Graph the system of inequalities using the test point method.: y < -x y > -3       Log On


   

Question 314046: I am having trouble with this test point method. Any help would be greatly appreciated.
Graph the system of inequalities using the test point method.:
y < -x
y > -3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I am having trouble with this test point method. Any help would be greatly appreciated.
Graph the system of inequalities using the test point method.:
y < -x
Graph y = -x as a dashed line (since it is the boundary but not the solution)
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-x%29
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Pick a test point that is not on the boundary.
Let's say you pick (2,3)
Check that point in the inequality:
3 < -2
That is wrong, so (2,3) is not in the solution half-plane.
The solution half-plane is on the other side of the boundary.
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y > -3
Graph the boundary y = -3
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-3%29
Pick (2,3) as a test point.
Check that point in the inequality:
3 > -3
That is true, so (2,3) is in the solution half-plane.
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Cheers,
Stan H.
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