document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=564091>Question 564091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! \r<BR>\n" );
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document.write( "I need help on an inequality involving absolute value. The problem is |(1/x)-3|>6. I broke the inequality into 2 equations, (1/x)-3>6 and (1/x)-3<-6. I then proceeded to get the equations, (1/x)>9 and (1/x)<-3. I am stuck from here. The answer I should get is (-(1/3),0) union (0,(1/9)). Thank you for any help you can give me.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365225 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=365225\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> |(1/x)-3| > 6<BR>\n" );
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document.write( "The problem has 2 parts:<BR>\n" );
document.write( "(1/x)-3 > 6  ; (1/x)-3 < -6<BR>\n" );
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document.write( "(1/x) > 9    ;  (1/x) < -3<BR>\n" );
document.write( "Notice x must equal 1/10, 1/11, 1/12 etc.(getting closer and closer to zero)<BR>\n" );
document.write( "Notice x must equal -1/4, -1/5 , -1/6 etc.(getting closer and closer to zero)<BR>\n" );
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document.write( "-1/3< x < 0    ;  0< x < 1/9 <BR>\n" );
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document.write( "Solution: (-1/3 , 0) U (0 , 1/9)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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