document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207369>Question 1207369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify |x-1| + |x-2| given that x is in the open interval (1,2).<BR>\n" );
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document.write( "The book tells me that since x > 1, then x - 1 is positive.<BR>\n" );
document.write( "So, |x-1| = x - 1.<BR>\n" );
document.write( "Where does it say that x > 1? <BR>\n" );
document.write( "The book goes on to say that x < 2. <BR>\n" );
document.write( "Since x < 2, then x - 2 is negative. <BR>\n" );
document.write( "So, |x-2| = -(x-2) = -x + 2.<BR>\n" );
document.write( "Where does it say that x < 2?<BR>\n" );
document.write( "The author went in to do this:<BR>\n" );
document.write( "x - 1 - x + 2 = 1.<BR>\n" );
document.write( "The answer is 1.<BR>\n" );
document.write( "However, my two questions are:<BR>\n" );
document.write( "1. Where does it say that x > 1?<BR>\n" );
document.write( "2. Where does it say that x < 2?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845206 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52908)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845206\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "The problem says that x is in the open interval (1,2).\r\n" );
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document.write( "It means that x > 1       (since on the number line, x is on the right of 1).\r\n" );
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document.write( "It also means that x < 2  (since on the number line, x is on the left of 2).\r\n" );
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document.write( "These are the answers to your questions (1) and (2).\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Answered and explained, in full.\r<BR>\n" );
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document.write( "Your problem is that you do not understand elementary standard mathematical writing, <BR>\n" );
document.write( "in no one of its words, terms and/or conceptions, as well as in no one single mathematical symbol.\r<BR>\n" );
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document.write( "It means that you do not have necessary pre-requisite knowledge to read, understand and solve these problems.\r<BR>\n" );
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document.write( "To learn Math this way without following right logic is a deliberately losing strategy, which will not lead to success.\r<BR>\n" );
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document.write( "To learn mathematics successfully, you need to follow carefully designed courses where all concepts are introduced sequentially.\r<BR>\n" );
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document.write( "Good school courses have been developed over centuries, so the best thing you can do is to follow those well-designed courses.\r<BR>\n" );
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