SOLUTION: Graph the inequality on a plane 2x + 3y (is less than or equal to) 6

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Question 325360: Graph the inequality on a plane
2x + 3y (is less than or equal to) 6
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the inequality on a plane
2x + 3y (is less than or equal to) 6
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1st: Graph the boundary of the inequality:
3y = -2x+6
y = (-2/3)x + 2
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-2%2F3%29x%2B2%29
That is the graph of the EQUALITY.
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2nd: Pick a test point that is not on the boundary.
Pick (0,0)
Test it in the INEQUALITY:
2*0 + 3*0 < 6
0 < 6
That is true.
So the graph of the INEQUALITY is the half-plane
containing (0,0).
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C+y%3C%28-2%2F3%29x%2B2%29
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Cheers,
Stan H.