document.write( "Question 755723: Solve the following inequality (x-4)(x-5)(x-6)>0
\n" ); document.write( "The solution set______ (interval notation)
\n" ); document.write( "

Algebra.Com's Answer #459799 by josgarithmetic(39621)\"\" \"About 
You can put this solution on YOUR website!
The factored form as you have is very convenient for finding the solution set. The critical values are at x equal to 4, 5, and 6. The intervals to check are these:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(-infin, 4)
\n" ); document.write( "(4, 5)
\n" ); document.write( "(5, 6)
\n" ); document.write( "(6, +infin)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Test -5. Let x = -5.
\n" ); document.write( "(-)(-)(-)=(-)<0? TRUE.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Test 4.5
\n" ); document.write( "(+)(-)(-)=(+)<0? FALSE\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Test 5.5.
\n" ); document.write( "(+)(+)(-)=(-)<0? TRUE.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Test x=7.
\n" ); document.write( "(+)(+)(+)=(+)<0? FALSE.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Each of those tests correspond to the item corresponding to the listed intervals.\r
\n" ); document.write( "\n" ); document.write( "Solution set is (-infin, +4) AND (+5, +6).
\n" ); document.write( "
\n" ); document.write( "
\n" );