document.write( "Question 936299: How do i graph this absolute two variable inequality? y-3<|3x+15|+2 \n" ); document.write( "
Algebra.Com's Answer #569814 by josgarithmetic(39617)\"\" \"About 
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Solve for y in terms of x, and use the separate inequalities and their related lines.\r
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\n" ); document.write( "\n" ); document.write( "\"y%3C3%28abs%28x%2B5%29%29%2B2%2B3\"
\n" ); document.write( "\"y%3C3%2Aabs%28x%2B5%29%2B5\"\r
\n" ); document.write( "\n" ); document.write( "Critical value is x=-5.\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B5%3E0\"
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\n" ); document.write( "\"y%3C3%28x%2B5%29%2B5\"
\n" ); document.write( "\"y%3C3x%2B15%2B5\"
\n" ); document.write( "\"y%3C3x%2B20\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2B5%3C0\"
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\n" ); document.write( "\"y%3C3%28-x-5%29%2B5\"
\n" ); document.write( "\"y%3C-3x-15%2B5\"
\n" ); document.write( "\"y%3C-3x-10\"\r
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\n" ); document.write( "\n" ); document.write( "What happens AT x=-5?
\n" ); document.write( "\"y%3Cabs%283%28-5%29%2B15%29%2B5%3F\"
\n" ); document.write( "\"y%3Cabs%28-15%2B15%29%2B5\"
\n" ); document.write( "\"y%3C5\"\r
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\n" ); document.write( "\n" ); document.write( "SUMMARY
\n" ); document.write( "\"y%3C3x%2B20\"_________\"x%3E-5\"
\n" ); document.write( "\"y%3C-3x-10\"________\"x%3C-5\"\r
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\n" ); document.write( "\n" ); document.write( "The equality would be:
\n" ); document.write( "\"graph%28300%2C300%2C-10%2C3%2C-3%2C10%2Cy=3%2Aabs%28x%2B5%29%2B5%29\"\r
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\n" ); document.write( "\n" ); document.write( "The inequality is, keeping all graph regions in the same positions,
\n" ); document.write( "\"graph%28300%2C300%2C-10%2C3%2C-3%2C10%2Cy-3%3Cabs%283x%2B15%29%2B2%29\"
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