document.write( "Question 207159: Please help me solve this equation: \"+7y-2x%2B3%3C17+\"
\n" ); document.write( "You have to sketch the graph of the inequality\r
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Algebra.Com's Answer #156608 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
your equation is:
\n" ); document.write( "\"+7y-2x%2B3%3C17+\"
\n" ); document.write( "add 2x and subtract 3 from both sides of this equation to get:
\n" ); document.write( "\"+7y%3C2x-3%2B17+\" which becomes:
\n" ); document.write( "\"+7y%3C2x%2B14+\"
\n" ); document.write( "divide both sides of this equation by 7 to get:
\n" ); document.write( "\"+y%3C%282x%2B14%29%2F7+\"
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\n" ); document.write( "a graph of this equation will look like this:
\n" ); document.write( "\"graph%28800%2C400%2C-10%2C10%2C-10%2C10%2C%282x%2B14%29%2F7%29\"
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\n" ); document.write( "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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\n" ); document.write( "for example:
\n" ); document.write( "when x = -9, y must be smaller than \"+%282x%2B14%29%2F7+\" which equals -.0571428571
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\n" ); document.write( "let y = -.058 which is smaller than -.0571428571 (smaller is more negative).
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\n" ); document.write( "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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