Question 985060: I need help solving and graphing x+2y<8
Answer by macston(5194)   (Show Source):
You can put this solution on YOUR website! .
x+2y<8
2y<8-x
y<(8-x)/2
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To find x-intercept, let y=0
0=(8-x)/2
0=8-x
-8=-x
8=x
First point is (8,0)
.
To find y-intercept, let x=0
y=(8-0)/2
y=8/2
y=4
Second point is (0,4)
.
Plot points on graph and draw a dotted line through both points.
Since the inequality is less than, the shaded area will be below the line, but we can check by picking a point below the line, such as (0,0):
y<(8-x)/2
0<(8-0)/2
0<8/4
0<4 True, so this is a solution.
Now pick a point above the line, such as (4,4):
y<(8-x)/2
4<(8-4)/2
4<4/2
4<2 False, so the area above the line is not included.
The line is dotted because the line is y=(8-x)/2 and is not included in the solution (must be less than)
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