SOLUTION: graph the inequality of the plane 5x+6y<30

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Question 327958: graph the inequality of the plane
5x+6y<30
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5x%2B6y%3C30
6y%3C-5x%2B30
y%3C-%285%2F6%29x%2B5
First, graph the line,
y=-%285%2F6%29x%2B5
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graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-%285%2F6%29x%2B5%29
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Then choose a point not on the line, (0,0) is always a good choice if available.
Test the inequality.
0%3C5
True, so (0,0) is part of the solution region.
Shade that portion.
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Solved by pluggable solver: Plot Any Inequality
Graphing function y%3C-%285%2F6%29x%2B5:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+y%3C-%285%2F6%29x%2B5+%29