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

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.

So the solution set will lie in the region that is created by the other two regions overlapping each other.