document.write( "Question 970061: I need help with this inequality 6/(x-3)< 3/(x+1). Please show all work. Thank you. \n" ); document.write( "
Algebra.Com's Answer #592757 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\"6%2F%28x-3%29%3C+3%2F%28x%2B1%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"6%2F%28x-3%29-3%2F%28x%2B1%29%3C0\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%2F%28x-3%29-1%2F%28x%2B1%29%3C0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%282%28x%2B1%29-%28x-3%29%29%2F%28%28x-3%29%28x%2B1%29%29%3C0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%282x%2B2-x%2B3%29%2F%28%28x-3%29%28x%2B1%29%29%3C0\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28%28x%2B5%29%2F%28%28x-3%29%28x%2B1%29%29%3C0%29\"\r
\n" ); document.write( "\n" ); document.write( "Critical values of x are -5,-1,3.
\n" ); document.write( "These make four intervals on the x-axis number line. Pick any value INSIDE each interval and check for truth or falseness for the inequality statement.\r
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\n" ); document.write( "\n" ); document.write( "The intervals within to check are these:
\n" ); document.write( "\"x%3C-5\"
\n" ); document.write( "-
\n" ); document.write( "\"-5%3Cx%3C-1\"
\n" ); document.write( "-
\n" ); document.write( "\"-1%3Cx%3C3\"
\n" ); document.write( "-
\n" ); document.write( "\"3%3Cx\"
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