SOLUTION: |-6x+5y|>32

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Question 1018305: |-6x+5y|>32
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
-6x+5y non-negative,
-6x%2B5y%3E32
5y%3E6x%2B32
y%3E%286%2F5%29x%2B32%2F5

-6x+5y negative,
abs%28-6x%2B5y%29%3E32
-%28-6x%2B5y%29%3E32
6x-5y%3E32
-5y%3E-6x%2B32
y%3C%286%2F5%29x-32%2F5

A graph cuts the plane into three regions based on the two reference lines for the inequality. Note that the two reference lines are parallel. Picking a point in each region and testing in the original equation can indicate the solutions regions.