document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007206>Question 1007206</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following inequality using interval notation: \r<BR>\n" );
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document.write( "1/x+3 + 1/x >_ 0\r<BR>\n" );
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document.write( ">_ = greater than or equal to\r<BR>\n" );
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document.write( "PLEASE HELP </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623191 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=623191\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x can't be 0 or -3<BR>\n" );
document.write( "Multiply through by x(x+3) to clear fractions, and you get x+x+3>=0, 2x+3>=0 and x>=-3/2.<BR>\n" );
document.write( "critical values are <-3, between -3 and -3/2, between -3/2 and 0, and greater than 0.<BR>\n" );
document.write( "pick -4<BR>\n" );
document.write( "-1+-1/4 is not greater than or equal to zero.<BR>\n" );
document.write( "pick -2<BR>\n" );
document.write( "1-1/2 not greater than or equal to zero. That works.<BR>\n" );
document.write( "Pick -3/2 itself.  1/1.5-1/(-3/2)=2/3-2/3 =0.  That works.<BR>\n" );
document.write( "Try -1<BR>\n" );
document.write( "1/2 -1 is not greater than 0.<BR>\n" );
document.write( ">0, both are positive and it works.<BR>\n" );
document.write( "The inequality works \r<BR>\n" );
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document.write( "(-3,-3/2]U[0,oo)<BR>\n" );
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