SOLUTION: solve the system of linear inequalities by graphing. x-2y<=4, x>1

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Question 82650: solve the system of linear inequalities by graphing. x-2y<=4, x>1
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Solve for y in
Subtract x from both sides
Divide both sides by -2

So the graph will have the equations and (just replace the inequality signs with an equal sign)



Now pick a test point (0,0) and evaluate it for

true. So shade the region containing (0,0). This is the region above the line
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Now pick a test point (0,0) and evaluate it for

false. So shade the region that doesn't contain (0,0). This is the region to the right of the line.
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So the solution set will lie in the region that is created by the other two regions overlapping each other.

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