document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=245249>Question 245249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality:<BR>\n" );
document.write( "|x+12/x-12|< or equal to 3<BR>\n" );
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 #179220 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=179220\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality:<BR>\n" );
document.write( "|x+12/x-12|<= 3<BR>\n" );
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document.write( "Looking you can see that x cannot be 12.<BR>\n" );
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document.write( "Solving the EQUALITY you gt:<BR>\n" );
document.write( "(x+12)/(x-12) = 3 or (x+12)/(x-12) = -3<BR>\n" );
document.write( "x+12 = 3x-26      or x+12 = -3x+36<BR>\n" );
document.write( "2x = 38           or 4x = 24<BR>\n" );
document.write( "x = 19            or x = 6<BR>\n" );
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document.write( "So, draw a number line and plot x = 6, x = 12, x = 19<BR>\n" );
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document.write( "Now find the solutions for the INEQUALITY by checking<BR>\n" );
document.write( "a value in each of the four resulting intervals of<BR>\n" );
document.write( "the number line.<BR>\n" );
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document.write( "|x+12/x-12| < 3<BR>\n" );
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document.write( "Let x = 0; you get |12/-12| < 3 ; true, so solutions in (-inf,6)<BR>\n" );
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document.write( "Let x = 10; you get |22/-2} < 3 ; false, so no solutions in (6,12)<BR>\n" );
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document.write( "Let x = 15; you get |27/3| < 3 ; false, so no solutions in (12,19)<BR>\n" );
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document.write( "Let x = 25 ; you get |37/13| < 3 ; true, so solutions in (19,+inf)<BR>\n" );
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document.write( "Combining the solutions for the EQUALITY and the INEQALITY you get:<BR>\n" );
document.write( "(-inf,6] U [19,+inf)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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