SOLUTION: Solve the following system of linear inequalities by graphing 3x-y<2 x+y>2 Please help solve this

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Question 69229: Solve the following system of linear inequalities by graphing
3x-y<2
x+y>2
Please help solve this
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First solve both for y
3x-y%3E2Equation 1
y%3C3x%2B2Solve for y
x%2By%3E2Equation 2
y%3E2-xSolve for y
Then graph both equations of y
%0D%0Agraph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+3%2Ax%2B2%2C+2-x+%29<---shade in this area. Note: green=2-x red=3x+2
Now since y is less than 3x+2 and greater than 2-x, you must shade in this region. So shade with your pencil above the the line of 2-x and below the line 3x+2. Essentially the shaded area should be in the right most square that forms from the 2 lines.