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)![]() ![]() ![]() 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( " |