document.write( "Question 100723: graph f(x) (x-5) / (x^2-16)\r
\n" ); document.write( "\n" ); document.write( "solve the inequality f(x) > 0 \n" ); document.write( "
Algebra.Com's Answer #73368 by edjones(8007)\"\" \"About 
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(x-5)/(x^2-16)>0
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\n" ); document.write( "Let's solve for the inequality first.
\n" ); document.write( "We factor the denominator and get (x-4)(x+4)
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\n" ); document.write( "Now we draw a number line and draw a line through it at -4, 4, and 5.
\n" ); document.write( "We have to find out whether our equation is positive or negative on either side of those lines.
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\n" ); document.write( "let x=-5: -10/(25-16) is negative so when x<-4 the equation is <0. when x=-4 we would have division by zero.
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\n" ); document.write( "let x=0: -5/-16 is positive so when -4>x<4: (x-5)/(x^2-16)>0
\n" ); document.write( "when x=4 we get another division by zero.
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\n" ); document.write( "let x = 4.5: -.5/4.25 is negative so the equation is <0 between 4 and 5.
\n" ); document.write( "When x=5 the equation = 0.
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\n" ); document.write( "let x=6: 1/20 is positive so when x>5: (x-5)/(x^2-16)>0
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\n" ); document.write( "X(-4,4)U(5,infinity)
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\n" ); document.write( "I tried to do the graph on our graphing utility but it didn't come out.
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