document.write( "Question 310608: 2. Solve (x+19)(x-17)(x+17)>0
\n" ); document.write( "the solution set is {x|____} or
\n" ); document.write( "Solution is all real numbers or no solution
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #222116 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\",\"-19\")
\n" ); document.write( "Region \"2\": (\"-19\",\"-17\")
\n" ); document.write( "Region \"3\": (\"-17\",\"17\")
\n" ); document.write( "Region \"4\": (\"17\",\"infinity\")
\n" ); document.write( "Pick a point in each region (not the endpoints) and test the inequality.
\n" ); document.write( "If the inequality is true, that region is part of the solution set.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Region \"1\", let \"x=-20\"
\n" ); document.write( " \"+%28x%2B19%29%28x-17%29%28x%2B17%29%3E0\"
\n" ); document.write( " \"%28-20%2B19%29%28-20-17%29%28-20%2B17%29%3E0\"
\n" ); document.write( " \"%28-1%29%28-37%29%28-3%29%3E0\"
\n" ); document.write( "\"-111%3E0\"
\n" ); document.write( "False
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Region \"2\", let \"x=-18\"
\n" ); document.write( " \"%28x%2B19%29%28x-17%29%28x%2B17%29%3E0\"
\n" ); document.write( " \"%28-18%2B19%29%28-18-17%29%28-18%2B17%29%3E0\"
\n" ); document.write( " \"%281%29%28-35%29%28-1%29%3E0\"
\n" ); document.write( "\"35%3E0\"
\n" ); document.write( "True
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Region \"3\", let \"x=0\"
\n" ); document.write( " \"%28x%2B19%29%28x-17%29%28x%2B17%29%3E0\"
\n" ); document.write( " \"%2819%29%28-17%29%2817%29%3E0\"
\n" ); document.write( "\"+-5491%3E0\"
\n" ); document.write( "False
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Region \"4\", let \"x=20\"
\n" ); document.write( " \"%28x%2B19%29%28x-17%29%28x%2B17%29%3E0\"
\n" ); document.write( " \"%2820%2B19%29%2820-17%29%2820%2B17%29%3E0\"
\n" ); document.write( " \"%2839%29%283%29%2837%29%3E0\"
\n" ); document.write( "\"4329%3E0+\"
\n" ); document.write( "True
\n" ); document.write( "So then the solution includes Regions 2 and 4.
\n" ); document.write( "(\"-19\",\"-17\")U(\"17\",\"infinity\")
\n" ); document.write( "
\n" ); document.write( "
\n" );