document.write( "Question 367675: write x square plus eight x minus twenty is less tha zero in interval notation form\r
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Algebra.Com's Answer #262075 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"x%5E2%2B8x-20%3C0\"
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\n" ); document.write( "Break up the number line into 3 regions using the critical points of the function.
\n" ); document.write( "Region 1:(\"-infinity\",\"-10\")
\n" ); document.write( "Region 2:(\"-10\",\"2\")
\n" ); document.write( "Region 3:(\"2\",\"infinity\")
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\n" ); document.write( "For each region, choose a point in the region (not an endpoint).
\n" ); document.write( "Test the inequality.
\n" ); document.write( "If the inequality is satisfied, the region is part of the solution region.
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\n" ); document.write( "Region 1:\"x=-11\"
\n" ); document.write( "\"%28x%2B10%29%28x-2%29%3C0\"
\n" ); document.write( "\"%28-11%2B10%29%28-11-2%29%3C0\"
\n" ); document.write( "\"%28-1%29%28-13%29%3C0+\"
\n" ); document.write( "\"13%3C0+\"
\n" ); document.write( "False, Region 1 is not part of the solution region.
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\n" ); document.write( "Region 2:\"x=0\"
\n" ); document.write( "\"%28x%2B10%29%28x-2%29%3C0\"
\n" ); document.write( "\"%2810%29%28-2%29%3C0\"
\n" ); document.write( "\"-20%3C0+\"
\n" ); document.write( "True, Region 2 is part of the solution region.
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\n" ); document.write( "Region 3:\"x=3\"
\n" ); document.write( "\"%28x%2B10%29%28x-2%29%3C0\"
\n" ); document.write( "\"%283%2B10%29%283-2%29%3C0\"
\n" ); document.write( "\"%2813%29%281%29%3C0+\"
\n" ); document.write( "\"13%3C0+\"
\n" ); document.write( "False, Region 3 is not part of the solution region.
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\n" ); document.write( "Solution Region:(\"-10\",\"2\")
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\n" ); document.write( "Graphical verification: Look for regions where the function is below the x-axis (\"y%3C0\")
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