SOLUTION: I have a worksheet and I am stuck on the last question. It says: Solve the system of inequalities x>2 and y is less than or equal to x+3 by graphing. If the system does not have

Algebra ->  Graphs -> SOLUTION: I have a worksheet and I am stuck on the last question. It says: Solve the system of inequalities x>2 and y is less than or equal to x+3 by graphing. If the system does not have      Log On


   

Question 130168: I have a worksheet and I am stuck on the last question. It says:
Solve the system of inequalities x>2 and y is less than or equal to x+3 by graphing. If the system does not have a solution, write no solution.
The answer I cam up with is no solution because they go in opposite directions. Thanks
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I have a worksheet and I am stuck on the last question. It says:
Solve the system of inequalities x>2 and y is less than or equal to x+3 by graphing. If the system does not have a solution, write no solution.
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Sketch the vertical line x=2 as a dashed line.
Shade the half-plane to the right of the line because you
want x greater than 2.
Sketch the lin y = x+3 as a solid line because you have
y=x+3 as one of the conditions.
Shade the half-plane beloe the line because you have y is
less than x+3.
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Solution: it is the intersection of the two half-planes
plus the y=x+3 boundary of the intersection.
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Cheers,
Stan H.