document.write( "Question 467365: 3. Solve the inequality. Express your solution in interval notation and please be sure to show all of your work.
\n" ); document.write( " (x-3)²/x(x-1)> 0 \n" ); document.write( "

Algebra.Com's Answer #320771 by robertb(5830) $\"\"$ $\"About$

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$\"%28x-3%29%5E2%2F%28x%28x-1%29%29%3E+0\"$ \r
\n" ); document.write( "\n" ); document.write( "The critical numbers are 0, 1, 3.\r
\n" ); document.write( "\n" ); document.write( "In the interval ( $\"-infinity\"$ , 0): $\"%28x-3%29%5E2%2F%28x%28x-1%29%29%3E+0\"$ . (Use the test number x = -1.)\r
\n" ); document.write( "\n" ); document.write( "In the interval (0, 1): $\"%28x-3%29%5E2%2F%28x%28x-1%29%29%3C+0\"$ . (Use the test number x = 1/2.)\r
\n" ); document.write( "\n" ); document.write( "In the interval (1, 3): $\"%28x-3%29%5E2%2F%28x%28x-1%29%29%3E+0\"$ . (Use the test number x = 2.)\r
\n" ); document.write( "\n" ); document.write( "In the interval (3, $\"infinity\"$ ): $\"%28x-3%29%5E2%2F%28x%28x-1%29%29%3E+0\"$ . (Use the test number x = 4.)
\n" ); document.write( "The critical numbers are not included in the solution set. (Why?)\r
\n" ); document.write( "\n" ); document.write( "Hence the solution set is ( $\"-infinity\"$ , 0)U(1, 3)U (3, $\"infinity\"$ ). \n" ); document.write( "

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