SOLUTION: I ahve a worksheet that I am having problem with. the question is: Solve the system of inequalities x>2 and y<=x+3 by graphing. If the system does not have a solution, write n

Algebra ->  Inequalities -> SOLUTION: I ahve a worksheet that I am having problem with. the question is: Solve the system of inequalities x>2 and y<=x+3 by graphing. If the system does not have a solution, write n      Log On


   

Question 129773This question is from textbook algebra concepts and applications
: I ahve a worksheet that I am having problem with.
the question is: Solve the system of inequalities x>2 and y<=x+3 by graphing. If the system does not have a solution, write no solution.
I would really appreciate your help. I came up with no solution
Thank you
Alicia This question is from textbook algebra concepts and applications

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of inequalities x>2 and y<=x+3 by graphing. If the system does not have a solution, write no solution.
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Graph the boundaries which are x=2 as a dashed line and y=x+3 as a solid line.
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Comment: I can't graph x=2 on this site but it is a vertical line passing
thru all points where x=2
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%2B3%29
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Shade the half-plane to the right of x=2 because you want x greater than 2.
Shade the half-plane below y = x+3 because you wan y less than x+3
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If the two half-plane intersect, that is the solution area for the system
of inequalities; also the boundary of that area formed by y=x+3 is part of
the solution set.
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Cheers,
Stan H.