document.write( "Question 90552: Please help me with this:
\n" ); document.write( "It asks to have the inequality solved and to state and graph the solution set???
\n" ); document.write( "x/x-3<=-8/x-6 HELP PLEASE!!! \n" ); document.write( "
Algebra.Com's Answer #66266 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
state and graph the solution set???
\n" ); document.write( "x/(x-3)<=-8/(x-6)
\n" ); document.write( "Find the values x CANNOT take.
\n" ); document.write( "x cannot be 3 and x cannot be 6.
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\n" ); document.write( "Draw a number line; plot 3 and 6 on that number line.
\n" ); document.write( "You now have three intervals of points that may be solution points.
\n" ); document.write( "Pick a test point from each interval to determine if the selected
\n" ); document.write( "interval is part of the solution set.
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\n" ); document.write( "Interval (-inf,3); select x=0; 0/(0-3)<=-8/(0-6) ; true so (-inf,3) is part of the solution.
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\n" ); document.write( "Interval (3,6); select x= 5; 5/(5-3)<=-8/(5-6) ; true so (3,6) is part of the
\n" ); document.write( "solution.
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\n" ); document.write( "Interval (6,inf); select x= 7; 7/(7-3)<=-8/(7-6); false so no solution here
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\n" ); document.write( "Final solution: (-inf,3)U(3,6)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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