SOLUTION: I need some assistance with this problem. Graph the following system of inequalities: -2x + y less than or equal to 4 y > x + 2

Algebra ->  Graphs -> SOLUTION: I need some assistance with this problem. Graph the following system of inequalities: -2x + y less than or equal to 4 y > x + 2      Log On


   

Question 429798: I need some assistance with this problem.
Graph the following system of inequalities:
-2x + y less than or equal to 4
y > x + 2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the following system of inequalities:
-2x + y less than or equal to 4
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Solve for "y":
y <= 2x+4
Graph the boundary: y = 2x+4
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%2B4%29
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Graph the inequality:
Since y is LESS than 2x+4, shade the half-plane BELOW the boundary.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C2x%2B4%29
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y > x + 2
Graph the boundary: y = x+2 as a dashed line.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%2B2%29
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Graph the inequality
Since yis GREATER than x+2, shade the half-plane
ABOVE the boundary:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3E+x%2B2%29
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The intersectionof the two graphs is the graph of the system
of two inequalities.
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Cheers,
Stan H.