SOLUTION: 3x+4y≤12 Solve and graph the inequality on a plane?

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Question 380429: 3x+4y≤12 Solve and graph the inequality on a plane?
Found 2 solutions by stanbon, mananth:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3x+4y≤12 Solve and graph the inequality on a plane?
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1st: Solve for "y":
y <= (-3/4)x +3
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2nd: Graph the boundary, which is the EQUALITY:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-3%2F4%29x%2B3%29
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3rd: Graph the INEQUALITY:
Since you want y to be LESS than the boundary, shade
the half-plane BELOW the boundary:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C%28-3%2F4%29x%2B3%29
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Cheers,
Stan H.
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Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2B4y%3C=12
-3x
4y%3C=-3x%2B12
/4
y%3C=%28%28-3%2F4%29+x+%2B3%29
...
The boundary
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cy=%28-3%2F4%29x%2B3%29
...
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cy%3C=%28-3%2F4%29x%2B3%29
Sinxe y<= something all the values on the line and below the line are solutions .
The area below the line is shaded.
...
m.ananth@hotmail.ca