document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171637>Question 171637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve this inequasion for me!!! |x+2|/|x-3|&#8804;2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126793 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=126793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  |x+2|/|x-3|&#8804;2<BR>\n" );
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document.write( "1st: x cannot be 3<BR>\n" );
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document.write( "2nd: Solve the EQUALITY:<BR>\n" );
document.write( "(x+2)/x-3) = 2<BR>\n" );
document.write( "x+2 = 2x-6<BR>\n" );
document.write( "x = 8<BR>\n" );
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document.write( "If -2 < x < 3, <BR>\n" );
document.write( "(x+2)/[-(x-3)] = 2<BR>\n" );
document.write( "x+2 = -2x+6<BR>\n" );
document.write( "3x = 4<BR>\n" );
document.write( "x = 1.3333333...<BR>\n" );
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document.write( "Plot those three values on a number line:  1.3333, 3, 8<BR>\n" );
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document.write( "Check test values in the 4 resulting intervals to see where the solutions are.<BR>\n" );
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document.write( "Check x = -10: |-10+2|/|-10-3| < = 2; true, so solutions in (-inf,1.3333]<BR>\n" );
document.write( "Check x = 2 ; |2+2|/|2-3| = 4 < 2; false<BR>\n" );
document.write( "Check x =5 ; |5+2|/|5-3| =7/2 < 2; false<BR>\n" );
document.write( "Check x = 10 ; |10+2|/|10-3|=12/7 < 2; true, so solution in [8,+inf)<BR>\n" );
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document.write( "Ans: (-inf,1.333]U[8,+inf)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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