document.write( "Question 134489: I've been presented with this question:
\n" ); document.write( "Solve the inequality [1/(x + 1)] > [1/(x – 1)]. State the solution set using interval notation.\r
\n" ); document.write( "\n" ); document.write( "I started off by subtracting -[1/(x-1)] from each side to get
\n" ); document.write( "[1/(x + 1)] - [1/(x – 1)] > 0\r
\n" ); document.write( "\n" ); document.write( "Then I got the common denominator of [1(x-1)/(x + 1)(x-1)] - [1(x+1)/(x+1)(x – 1)]\r
\n" ); document.write( "\n" ); document.write( "This results in [0/(x + 1)(x – 1)] which is 0. What am I doing wrong?
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Algebra.Com's Answer #98382 by edjones(8007)\"\" \"About 
You can put this solution on YOUR website!
[1/(x + 1)] > [1/(x – 1)] LCD is (x+1)(x-1)
\n" ); document.write( "x-1>x+1 Multiply each side by LCD to eliminate fractions.
\n" ); document.write( "The equation is false because there is no number that when 1 is subtracted from it is larger than the same number when 1 is added to it.
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\n" ); document.write( "The answer is the empty set.
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