document.write( "Question 323502: Solve (x+15)(x-19)(x+13)>0 \n" ); document.write( "

Algebra.Com's Answer #231594 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Break up the number line into 4 regions.
\n" ); document.write( "Region 1:( $\"-infinity\"$ , $\"-15\"$ )
\n" ); document.write( "Region 2:( $\"-15\"$ , $\"-13\"$ )
\n" ); document.write( "Region 3:( $\"-13\"$ , $\"19\"$ )
\n" ); document.write( "Region 4:( $\"19\"$ , $\"infinity\"$ )
\n" ); document.write( "Choose an x value in each region (not an endpoint) and test the inequality.
\n" ); document.write( "If the x value solves the inequality, that region is part of the solution.
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\n" ); document.write( "Region 1: Let $\"x=-20\"$
\n" ); document.write( " $\"+%28+x%2B15%29%28x-19%29%28x%2B13%29+%3E0\"$
\n" ); document.write( " $\"%28+-20%2B15%29%28-20-19%29%28-20%2B13%29%3E0\"$
\n" ); document.write( " $\"%28+-5%29%28-39%29%28-7%29%3E0\"$
\n" ); document.write( " $\"-1365%3E0\"$
\n" ); document.write( "False, this region is not part of the solution.
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\n" ); document.write( "Region 2: Let $\"x=-14\"$
\n" ); document.write( " $\"%28+x%2B15%29%28x-19%29%28x%2B13%29%3E0\"$
\n" ); document.write( " $\"%28+-14%2B15%29%28-14-19%29%28-14%2B13%29%3E0\"$
\n" ); document.write( " $\"%28+1%29%28-33%29%28-1%29%3E0\"$
\n" ); document.write( " $\"33%3E0\"$
\n" ); document.write( "True, this region is part of the solution.
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\n" ); document.write( "Region 3: Let $\"x=0\"$
\n" ); document.write( " $\"%28+x%2B15%29%28x-19%29%28x%2B13%29%3E0\"$
\n" ); document.write( " $\"%28+0%2B15%29%280-19%29%280%2B13%29%3E0\"$
\n" ); document.write( " $\"%28+15%29%28-19%29%2813%29%3E0\"$
\n" ); document.write( " $\"-3705%3E0\"$
\n" ); document.write( "False, this region is not part of the solution.
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\n" ); document.write( "Region 4: Let $\"x=20\"$
\n" ); document.write( " $\"%28+x%2B15%29%28x-19%29%28x%2B13%29%3E0\"$
\n" ); document.write( " $\"%28+20%2B15%29%2820-19%29%2820%2B13%29%3E0\"$
\n" ); document.write( " $\"%28+35%29%281%29%2833%29%3E0\"$
\n" ); document.write( " $\"1155%3E0\"$
\n" ); document.write( "True, this region is part of the solution.
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\n" ); document.write( "Solution Region : ( $\"-15\"$ , $\"-13\"$ ) U ( $\"19\"$ , $\"infinity\"$ )\r
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(NOTE: Scale of y axis: 1 division=250 units)
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