document.write( "Question 309285: What is the answer to the following:
\n" ); document.write( "(x+11)(x-2)x+5)> 0 \n" ); document.write( "

Algebra.Com's Answer #221199 by Fombitz(32388) $\"\"$ $\"About$

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Break up the number line into 4 regions.
\n" ); document.write( "Region 1:( $\"-infinity\"$ , $\"-11\"$ )
\n" ); document.write( "Region 2:( $\"-11\"$ , $\"-5\"$ )
\n" ); document.write( "Region 3:( $\"-5\"$ , $\"2\"$ )
\n" ); document.write( "Region 4:( $\"2\"$ , $\"infinity\"$ )
\n" ); document.write( "Pick any point inside the region and test the inequality.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Region 1: Let $\"x=-15\"$ .
\n" ); document.write( " $\"%28-4%29%28-17%29%28-10%29%3E0\"$
\n" ); document.write( " $\"-680%3E0\"$
\n" ); document.write( "False.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Region 2: Let $\"x=-8\"$ .
\n" ); document.write( " $\"%283%29%28-10%29%28-3%29%3E0\"$
\n" ); document.write( " $\"90%3E0\"$
\n" ); document.write( "True.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Region 3: Let $\"x=0\"$ .
\n" ); document.write( " $\"%2811%29%28-2%29%285%29%3E0\"$
\n" ); document.write( " $\"-110%3E0\"$
\n" ); document.write( "False.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Region 4: Let $\"x=3\"$ .
\n" ); document.write( " $\"%2814%29%281%29%288%29%3E0\"$
\n" ); document.write( " $\"+112%3E0+\"$
\n" ); document.write( "True.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "So the solution region is the union of Region 2 and Region 4.
\n" ); document.write( "( $\"-11\"$ , $\"-5\"$ ) U ( $\"2\"$ , $\"infinity\"$ )
\n" ); document.write( " \n" ); document.write( "

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