document.write( "Question 1071336: Solve the inequality and graph the solution set on a number line.
\n" ); document.write( "(x+6)(x−5)2 > 0 \n" ); document.write( "

Algebra.Com's Answer #686578 by Fombitz(32388) $\"\"$ $\"About$

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Separate the number line into three regions,
\n" ); document.write( "Region 1: $\"x%3C-6\"$
\n" ); document.write( "Region 2: $\"-6%3Cx%3C5\"$
\n" ); document.write( "Region 3: $\"x%3E5\"$
\n" ); document.write( "Test the inequality in each region to see if it's part of the solution.
\n" ); document.write( "Region 1
\n" ); document.write( " $\"x=-7\"$
\n" ); document.write( " $\"%28-7%2B6%29%28-7-5%29%5E2%3E0\"$
\n" ); document.write( " $\"-1%28144%29%3E0\"$
\n" ); document.write( " $\"-144%3E0\"$
\n" ); document.write( "False, not part of the solution.
\n" ); document.write( ".
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\n" ); document.write( "Region 2
\n" ); document.write( " $\"x=0\"$
\n" ); document.write( " $\"%280%2B6%29%280-5%29%5E2%3E0\"$
\n" ); document.write( " $\"6%2825%29%3E0\"$
\n" ); document.write( " $\"150%3E0\"$
\n" ); document.write( "True, part of the solution.
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\n" ); document.write( "Region 3
\n" ); document.write( " $\"x=6\"$
\n" ); document.write( " $\"%286%2B6%29%286-5%29%5E2%3E0\"$
\n" ); document.write( " $\"12%281%29%3E0\"$
\n" ); document.write( " $\"12%3E0\"$
\n" ); document.write( "True, part of the solution.
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\n" ); document.write( "So then the solution region is,
\n" ); document.write( " $\"-6%3Cx%3C5\"$ U $\"x%3E5\"$ \n" ); document.write( "

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