document.write( "Question 183229: Solve: (3-x)(2+x)(4+x)>0 How do I figure out the answer and write it in interval notation? \n" ); document.write( "

Algebra.Com's Answer #137574 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
(3-x)(2+x)(4+x)>0
\n" ); document.write( "-----------
\n" ); document.write( "1st determine values that \"x\" CANNOT have.
\n" ); document.write( "------------
\n" ); document.write( "X cannot be 3, -2, -4
\n" ); document.write( "--------------
\n" ); document.write( "Draw a number line and mark -4, -2, and 3 on the line
\n" ); document.write( "--------------
\n" ); document.write( "The line now has 4 defined intervals. Test a point from each
\n" ); document.write( "of the intervals in the INEQUALITYl to see where solutions are.
\n" ); document.write( "--------------
\n" ); document.write( "The INEQULITY: (3-x)(2+x)(4+x)>0
\n" ); document.write( "I'm only check the factor signs as we only what to know if the product
\n" ); document.write( "is positive
\n" ); document.write( "---
\n" ); document.write( "Test -5 ; -*-*- > 0 ;false
\n" ); document.write( "Test -3 : -*-*+ > 0 ; true so solutions in (-4,-2)
\n" ); document.write( "Test 2 : +*+*+ > 0 ; true, so solutions in (-2,3)
\n" ); document.write( "Test 4 ; -*+*+ > 0 ; false
\n" ); document.write( "----------------------------------
\n" ); document.write( "Solution : (-4,-2) U (-2,3)
\n" ); document.write( "=========================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );