document.write( "Question 342768: All sqaure root x-2 over x-1 find domain
\n" ); document.write( "my answer is [2, positive infite) I am right that answer
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Algebra.Com's Answer #245327 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
No, not completely.
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\n" ); document.write( "The square root function needs a non-negative argument.
\n" ); document.write( "\"%28%28x-2%29%2F%28x-1%29%29%3E=0\"
\n" ); document.write( "Break up the number line into 3 regions.
\n" ); document.write( "Region 1:(\"-infinity\",\"1\")
\n" ); document.write( "Region 2:(\"1\",\"2\")
\n" ); document.write( "Region 3:(\"2\",\"infinity\")
\n" ); document.write( "Choose a point in the region, not an endpoint.
\n" ); document.write( "Test the inequality.
\n" ); document.write( "If the inequality is satisfied, the region is part of the solution.
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\n" ); document.write( "Region 1: \"x=0\"
\n" ); document.write( "\"%28x-2%29%2F%28x-1%29%3E=0\"
\n" ); document.write( "\"-2%2F-1%3E=0\"
\n" ); document.write( "\"2%3E=0\"
\n" ); document.write( "True, this region is part of the solution.
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\n" ); document.write( "Region 2: \"x=3%2F2\"
\n" ); document.write( "\"%28x-2%29%2F%28x-1%29%3E=0\"
\n" ); document.write( "\"%283%2F2-2%29%2F%283%2F2-1%29%3E=0\"
\n" ); document.write( "\"-%281%2F2%29%2F%281%2F2%29%3E=0\"
\n" ); document.write( "\"-1%3E=0\"
\n" ); document.write( "False, this region is not part of the solution.
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\n" ); document.write( "Region 3: \"x=3\"
\n" ); document.write( "\"%28x-2%29%2F%28x-1%29%3E=0\"
\n" ); document.write( "\"%283-2%29%2F%283-1%29%3E=0\"
\n" ); document.write( "\"1%2F2%3E=0\"
\n" ); document.write( "True, this region is part of the solution.
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\n" ); document.write( "Since \"x=2\" also solves the inequality, it is also included.
\n" ); document.write( "\"x=1\" is not included in any solution region because it leads to a division by zero.
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\n" ); document.write( "Domain:(\"-infinity\",\"1\") U [\"2\",\"infinity\")
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