SOLUTION: how do I aolve and graph this linear inequality? -x +2y (is less than or equal to) 4?

Question 391179: how do I aolve and graph this linear inequality?
-x +2y (is less than or equal to) 4?
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
-x+2y<=4 first, solve for y
Since -x does not contain the variable to solve for, move it to the right-hand side of the inequality by adding x to both sides.
2y<=x+4
Divide each term in the inequality by 2.
(2y)/(2)<=(x)/(2)+(4)/(2)
Simplify the left-hand side of the inequality by canceling the common factors.
y<=(x)/(2)+(4)/(2)
Combine the numerators of all expressions that have common denominators.
y<=(x+4)/(2)

Then for x:
-x+2y<=4
Since 2y does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 2y from both sides.
-x<=-2y+4
Multiply each term in the inequality by -1.
-x*-1>=-2y*-1+4*-1
Multiply -x by -1 to get x.
x>=-2y*-1+4*-1
Simplify the right-hand side of the inequality by multiplying out all the terms.
x>=2y-4
Your points to graph=
(-4,0) (-2,1) (0,2) (1,2.5)(4,4)...and so on.
Your grahph should appear with a line going from bottom left to upper right
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