Question 69836: Graph the inequality.
x – y ≥ 2
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Graph the inequality.
x – y >= 2
:
Put it in the general "y=" form
Subtract x from both sides and you have:
-y >= 2 - x
:
We want y to be positive, multiply equation by -1, then you must reverse the inequality sign from: >=, to <=
y <= x - 2
:
Substitute these values for x, find y. At table should look like this:
x | y
-------
-1 | -3
+2 | 0
+4 | +1
:
Plot these, the graph should look like this:
:
Remember the equation has <= sign so the area of feasibility is
at or below the line on the graph
:
Substitute values above and below the line to test the truth of the equation
For example if we try x = 1, y = 1 which is not in the feasibility region,
the equation is not true, conversely if we choose a point in the region, say,
x = 4, y = -3, we have 4 - (-3) > 2 which is true
;
Does this make sense to you now?
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