SOLUTION: Please help me solve this equation: {{{ 7y-2x+3<17 }}} You have to sketch the graph of the inequality Thank you

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Question 207159: Please help me solve this equation: +7y-2x%2B3%3C17+
You have to sketch the graph of the inequality


Thank you
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your equation is:
+7y-2x%2B3%3C17+
add 2x and subtract 3 from both sides of this equation to get:
+7y%3C2x-3%2B17+ which becomes:
+7y%3C2x%2B14+
divide both sides of this equation by 7 to get:
+y%3C%282x%2B14%29%2F7+
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a graph of this equation will look like this:
graph%28800%2C400%2C-10%2C10%2C-10%2C10%2C%282x%2B14%29%2F7%29
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any value of y less than +%282x%2B14%29%2F7+ satisfies the equation which is the area in the graph underneath the graph of the equation which is the line shown.
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for example:
when x = -9, y must be smaller than +%282x%2B14%29%2F7+ which equals -.0571428571
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let y = -.058 which is smaller than -.0571428571 (smaller is more negative).
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when y = -.058, and x = -9, our original equation of +7y-2x%2B3%3C17+ becomes +7%28-.058%29-2%28-9%29%2B3%3C17+ which becomes +%28-.406%29%2B18%2B3%3C17+ which becomes +16.94%3C17+ which is true.
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