document.write( "Question 72589: I have checked all possible answers and heeeeeers my question. someone please explain how do I need to do this. You guys/gals are all I have in helping me.\r
\n" ); document.write( "\n" ); document.write( "for f(x) = 1/x^2 -2x -8, find the interval(s) where f(x) < 0.
\n" ); document.write( "-4, 2
\n" ); document.write( "-2, 4
\n" ); document.write( "2, 4
\n" ); document.write( "2, 8\r
\n" ); document.write( "\n" ); document.write( "Thank you if you can take the time to teach me.
\n" ); document.write( "

Algebra.Com's Answer #51896 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
f(x) = 1/x^2 -2x -8, find the interval(s) where f(x) < 0.
\n" ); document.write( "f(x) = 1/[(x-4)(x-2)]
\n" ); document.write( "F(x) will be<0 when [(x-4)(x-2)] is less than zero and x is not 2 or 4.
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\n" ); document.write( "When is (x-4)(x-2)<0 ??
\n" ); document.write( "Draw a number line and mark x=2 and x=4 on it.
\n" ); document.write( "That establishes three intervals.
\n" ); document.write( "Find the intervals which make (x-4)(x-2)<0
\n" ); document.write( "Check interval (-inf,2); select x=-100; you get (100-4)(100-2)>0 Therefore
\n" ); document.write( "the interval is NOT part of the solution.
\n" ); document.write( "Check interval (2.4); select x=3; you get (3-4)(3-2)<0 Therefore the
\n" ); document.write( "interval is part of the solution.
\n" ); document.write( "Check interval (4,inf); select x=100; you get (100-4)(100-2)>0 Therefore
\n" ); document.write( "the interval is NOT part of the solution.
\n" ); document.write( "---------
\n" ); document.write( "Solution summary: (2,4)
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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