document.write( "Question 875644: Hello, my question says solve the following rational inequality: x-6/(x^2-49)>0, and it is asking me to state my answer using interval notation. I know that I might be using a union. \n" ); document.write( "
Algebra.Com's Answer #528378 by edjones(8007)\"\" \"About 
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(x-6)/(x^2-49)>0
\n" ); document.write( "(x-6)/((x+7)(x-7))>0
\n" ); document.write( "x cannot be 7 or -7. Division by zero not allowed so 7 and - 7 are intervals.
\n" ); document.write( "x-6=0, x=6 so 6 is an interval.
\n" ); document.write( "Now put a value for x above and below each of the intervals to see if the inequality is valid for the interval.
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\n" ); document.write( "(-7,6) U (7, infinity)
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