document.write( "Question 968149: Solve the quadratic inequality by graphing an appropriate quadratic function.
\n" ); document.write( "x^2+6x<-8 \n" ); document.write( "
Algebra.Com's Answer #591676 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"x%5E2%2B6x%3C-8\"\r\n" );
document.write( "\"x%5E2%2B6x%2B8%3C0\"\r\n" );
document.write( "\"%28x%2B4%29%28x%2B2%29%3C0\"\r\n" );
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document.write( "Critical numbers are -4 and -2\r\n" );
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document.write( "The critical numbers are not part of the solution.\r\n" );
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document.write( "Open circle those on a number line:\r\n" );
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document.write( "----------o-----o----------------\r\n" );
document.write( "-7 -6 -5 -4 -3 -2 -1  0  1  2  3\r\n" );
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document.write( "Choose a test value left of -4, say -5\r\n" );
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document.write( "Substitute x=-5 in\r\n" );
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document.write( "\"%28x%2B4%29%28x%2B2%29%3C0\"\r\n" );
document.write( "\"%28-5%2B4%29%28-5%2B2%29%3C0\"\r\n" );
document.write( "\"%28-1%29%28-3%29%3C0\"\r\n" );
document.write( "\"3%3C0\"\r\n" );
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document.write( "False so we do not shade the interval left of -4\r\n" );
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document.write( "-7 -6 -5 -4 -3 -2 -1  0  1  2  3\r\n" );
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document.write( "Choose a test value between of -4 and =-2, say -3\r\n" );
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document.write( "Substitute x=-3 in\r\n" );
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document.write( "\"%28x%2B4%29%28x%2B2%29%3C0\"\r\n" );
document.write( "\"%28-3%2B4%29%28-3%2B2%29%3C0\"\r\n" );
document.write( "\"%281%29%28-1%29%3C0\"\r\n" );
document.write( "\"-1%3C0\"\r\n" );
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document.write( "True, so we do shade the interval between -4 and -2\r\n" );
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document.write( "----------o=====o----------------\r\n" );
document.write( "-7 -6 -5 -4 -3 -2 -1  0  1  2  3\r\n" );
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document.write( "Choose a test value right of -4, say 0\r\n" );
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document.write( "Substitute x=0 in\r\n" );
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document.write( "\"%28x%2B4%29%28x%2B2%29%3C0\"\r\n" );
document.write( "\"%280%2B4%29%280%2B2%29%3C0\"\r\n" );
document.write( "\"%284%29%282%29%3C0\"\r\n" );
document.write( "\"8%3C0\"\r\n" );
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document.write( "False so we do not shade the interval right of -2\r\n" );
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document.write( "So the set-builder notation is {x|-4 < x < -2}\r\n" );
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document.write( "So the interval notation of the graph is (-4,-2).\r\n" );
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document.write( "Edwin
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