document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268087>Question 268087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x, in interval notation: x^2-3/x-3 > or = 1/x-3.  I came up with [-2,2]U[3,infinity). The quiz said it should be [-2,2]U(3,infinity). I think the book is wrong. If not, why wouldn't 3 be the = part? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196565 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=196565\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simple reason: you CANNOT divide by zero. If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then the denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3=3-3=0 ALIGN=MIDDLE  ALT=\"x-3=3-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is a violation of this rule. So that's why 3 was excluded from the solution set. </SPAN>\n" );
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