document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=981360>Question 981360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x+4÷x-2<2÷x+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #602366 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=602366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you mean the way you wrote it, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-3x%2B2%29%2Fx%3C0 ALIGN=MIDDLE  ALT=\"%28x%5E2-3x%2B2%29%2Fx%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x-1%29%28x-2%29%29%2Fx%3C0 ALIGN=MIDDLE  ALT=\"%28%28x-1%29%28x-2%29%29%2Fx%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The two zeros and the undefined x value give three critical values which form the x-number line into four intervals:<BR>\n" );
document.write( "The critical values are  0, 1, 2.<BR>\n" );
document.write( "The intervals on the x-axis are  (-infinity,0), (0,1), (1,2), (2, infinity).\r<BR>\n" );
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document.write( "Test any value in each of the intervals and find if it satisfies or not, the inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4%2Fx-2%3C2%2Fx%2B1 ALIGN=MIDDLE  ALT=\"x%2B4%2Fx-2%3C2%2Fx%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Trying x=-1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2B4%2F%28-1%29-2%3C2%2F%28-1%29%2B1 ALIGN=MIDDLE  ALT=\"-1%2B4%2F%28-1%29-2%3C2%2F%28-1%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1-4-2%3C-2%2B1 ALIGN=MIDDLE  ALT=\"-1-4-2%3C-2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7%3C-1 ALIGN=MIDDLE  ALT=\"-7%3C-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "TRUE for (-infinity,0).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4%2Fx-2%3C2%2Fx%2B1 ALIGN=MIDDLE  ALT=\"x%2B4%2Fx-2%3C2%2Fx%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Try <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2%2B8-2%3C4%2B1 ALIGN=MIDDLE  ALT=\"1%2F2%2B8-2%3C4%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%261%2F2%3C5 ALIGN=MIDDLE  ALT=\"6%261%2F2%3C5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "FALSE for (0,1).\r<BR>\n" );
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document.write( "Try  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2%2B2%2A4%2F3-2%3C3%2B1 ALIGN=MIDDLE  ALT=\"3%2F2%2B2%2A4%2F3-2%3C3%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%262%2F3-1%2F2%3C4 ALIGN=MIDDLE  ALT=\"2%262%2F3-1%2F2%3C4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "TRUE for (1,2).\r<BR>\n" );
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document.write( "Try 4,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2B1-2%3C1%2F2%2B1 ALIGN=MIDDLE  ALT=\"4%2B1-2%3C1%2F2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "FALSE for (2, infinity)\r<BR>\n" );
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document.write( "This is not yet completely solved.  The value for x at 0 cannot be used or included, but the roots of the numerator in the single expression mean that x at 1 and x at 2 SHOULD still be checked, just to be sure of any more thorough solution.\r<BR>\n" );
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document.write( "You could try that... </SPAN>\n" );
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