document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30632>Question 30632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question \r<BR>\n" );
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document.write( "State the valu of x in the following inequality<BR>\n" );
document.write( "3/x-4<=2/x-2\r<BR>\n" );
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document.write( "Method i have tried. \r<BR>\n" );
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document.write( "Multiply both sides by the common denominator which is (x-4)(x-2) which gives you \r<BR>\n" );
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document.write( "3(x-2)<=2(x-4) therefore \r<BR>\n" );
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document.write( "3x-6<=2x-8\r<BR>\n" );
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document.write( "bring all the variable on one side leads me to\r<BR>\n" );
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document.write( "3x-2x<=-8+6<BR>\n" );
document.write( "thefore <BR>\n" );
document.write( "x<=-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17368 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=17368\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F%28x-4%29%3C=2%2F%28x-2%29+ ALIGN=MIDDLE  ALT=\"+3%2F%28x-4%29%3C=2%2F%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Treat this as an equality while solving<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2F%28x-4%29=2%2F%28x-2%29+ ALIGN=MIDDLE  ALT=\"+3%2F%28x-4%29=2%2F%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > since you have equivalent fractions, cross multiply<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%28x-2%29=2%28x-4%29+ ALIGN=MIDDLE  ALT=\"+3%28x-2%29=2%28x-4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > distribute<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3x-6=2x-8+ ALIGN=MIDDLE  ALT=\"+3x-6=2x-8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > subtract 2x from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1x-6=-8+ ALIGN=MIDDLE  ALT=\"+1x-6=-8+\"   DISABLED_style= \"max-width:90%; height:auto;\" > add 6 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-2+ ALIGN=MIDDLE  ALT=\"+x+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > since we did not multiply or divide by a negative number, put the < back in as is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3C=+-2+ ALIGN=MIDDLE  ALT=\"+x+%3C=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You got the same answer.  This is just one other way to solve the same problem. </SPAN>\n" );
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