document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912698>Question 912698</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following inequality: (4-x)/(x-10)>0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553982 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=553982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two critical values are for x at 4 and x at 10.  You have an inequality relating to 0, so you just need to analyze for sign in the three intervals on x which the critical values form.  Note, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E4 ALIGN=MIDDLE  ALT=\"x%3C%3E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because you have a strict inequality.  Also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E10 ALIGN=MIDDLE  ALT=\"x%3C%3E10\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the left rational member is there undefined.\r<BR>\n" );
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document.write( "Picking any specific value of x in each interval could be helpful in checking for signs.\r<BR>\n" );
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document.write( "(-infinity, 4)<BR>\n" );
document.write( "(+)/(-)>0<BR>\n" );
document.write( "FALSE\r<BR>\n" );
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document.write( "(4, 10)<BR>\n" );
document.write( "(+)/(+)>0<BR>\n" );
document.write( "TRUE\r<BR>\n" );
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document.write( "(10, infinity)<BR>\n" );
document.write( "(-)/(+)>0<BR>\n" );
document.write( "FALSE\r<BR>\n" );
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document.write( "The solution is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284%3Cx%3C10%29 ALIGN=MIDDLE  ALT=\"highlight%284%3Cx%3C10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OR<BR>\n" );
document.write( "( 4,  10 ) </SPAN>\n" );
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