document.write( "Question 250978: This really has me confused!!!\r
\n" ); document.write( "\n" ); document.write( "(x+5)(x-20)(x+3) > 0\r
\n" ); document.write( "\n" ); document.write( "Thank you for all your help!!!\r
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Algebra.Com's Answer #182749 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Break up the number line into 4 regions.
\n" ); document.write( " $\"+x%3C-5\"$
\n" ); document.write( " $\"-5%3Cx%3C-3\"$
\n" ); document.write( " $\"-3%3Cx%3C20\"$
\n" ); document.write( " $\"x%3E20\"$
\n" ); document.write( "Pick a number in each region and test the inequality.
\n" ); document.write( "First region: $\"+x=-10\"$
\n" ); document.write( " $\"%28-10%2B5%29%28-10-20%29%28-10%2B3%29%3E0\"$
\n" ); document.write( " $\"%28-5%29%28-30%29%28-7%29%3E0\"$
\n" ); document.write( " $\"-1050%3E0\"$
\n" ); document.write( "False, not a valid region.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Second region: $\"+x=-4\"$
\n" ); document.write( " $\"%28-4%2B5%29%28-4-20%29%28-4%2B3%29%3E0\"$
\n" ); document.write( " $\"%281%29%28-24%29%28-1%29%3E0\"$
\n" ); document.write( " $\"24%3E0\"$
\n" ); document.write( "True, a valid region.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Third region: $\"+x=0\"$
\n" ); document.write( " $\"%285%29%28-20%29%283%29%3E0\"$
\n" ); document.write( " $\"-300%3E0\"$
\n" ); document.write( "False, not a valid region.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Fourth region: $\"+x=30\"$
\n" ); document.write( " $\"%2830%2B5%29%2830-20%29%2830%2B3%29%3E0\"$
\n" ); document.write( " $\"%2835%29%2810%29%2833%29%3E0\"$
\n" ); document.write( " $\"11550%3E0+\"$
\n" ); document.write( "True, a valid region.
\n" ); document.write( "x=( $\"-5\"$ , $\"-3\"$ )U( $\"20\"$ , $\"infinity\"$ )
\n" ); document.write( " \n" ); document.write( "

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