document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78080>Question 78080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the folowing inequation<BR>\n" );
document.write( "x+3/x-2 less than equal to 2 <BR>\n" );
document.write( " i have solved this in the following way<BR>\n" );
document.write( "x+3/ x-2 - 2 less than equal to 0<BR>\n" );
document.write( "-x+7 / x-2 less than equal to 0<BR>\n" );
document.write( "x-7/ x-2 greater than equal to 0<BR>\n" );
document.write( " x belongs to (- infinity, 2 ) union [ 7, infinity)<BR>\n" );
document.write( "SIR I CANNOT UNDERSTAND THIS FORM <BR>\n" );
document.write( "x belongs to (- infinity, 2 ) union [ 7, infinity)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #55984 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=55984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the folowing inequation<BR>\n" );
document.write( "x+3/x-2 <= 2 <BR>\n" );
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document.write( "1st: Notice that x cannot be 2 because x-2 is in the denominator.<BR>\n" );
document.write( "2nd: Solve the equality:<BR>\n" );
document.write( "(x+3)/(x-2)=2<BR>\n" );
document.write( "x+3 = 2x-4<BR>\n" );
document.write( "x=7 (so that is a point in the solution set.<BR>\n" );
document.write( "3rd:<BR>\n" );
document.write( "Draw a line.<BR>\n" );
document.write( "Plot the two values x=2 and x=7 on the line.<BR>\n" );
document.write( "This breaks the line into three intervals ; pick a test point in each<BR>\n" );
document.write( "interval to see where the solution set(s) lie.<BR>\n" );
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document.write( "Interval (-inf,2); pick x=0; substitute into the inequality: 3/-2<2<BR>\n" );
document.write( "that is true so the interval is part of the solution set.<BR>\n" );
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document.write( "Interval (2,7] ; pick x=5; substitute to get 8/3<2; false; no solutions here<BR>\n" );
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document.write( "Interval [7,inf); pick x=10; substitute to get 13/8<2; true; solutions here.<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Final Answer:<BR>\n" );
document.write( "x is an element of (-inf,2) OR [7,inf}<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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