document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210606>Question 1210606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> four more than three times n equals -5<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 #854358 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53906)</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=854358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "Regarding this incoming problem, tutor @KMST made a remarkable discovery: she found that in this task <BR>\n" );
document.write( "(which appears simple at first glance) there exists an alternative, unexpected reading/interpretation <BR>\n" );
document.write( "which completely changes the game. I am impressed by the @KMST' discovery.\r<BR>\n" );
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document.write( "I looked at some other web-sites, and they all as one treat the problem as \"4 + 3n = -5\".\r<BR>\n" );
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document.write( "@KMST showed that, alongside the traditional interpretation \"4 + 3n = -5,\"<BR>\n" );
document.write( "a completely different interpretation is possible: \"(4 + 3)n = -5\",<BR>\n" );
document.write( "and, moreover, both versions are equally valid.\r<BR>\n" );
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document.write( "This demonstrates that even in cases that seem straightforward at first glance, hidden pitfalls may exist.\r<BR>\n" );
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document.write( "Thus, only in simple cases verbal quantitative descriptions are secure. <BR>\n" );
document.write( "In more complicated cases, verbal descriptions simply do not work and leave room for various interpretations. <BR>\n" );
document.write( "This is why in Mathematics (and in Science, in general), starting from a certain level of complexity, <BR>\n" );
document.write( "that kind verbal descriptions are considered as dangerous and NEVER used in serious texts.<BR>\n" );
document.write( "They have been displaced by precise mathematical expressions 200 or 300 years ago, when the modern/contemporary<BR>\n" );
document.write( "Math language was created.\r<BR>\n" );
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document.write( "I think that the time, when such wording exercises were actual from the educational point of view, <BR>\n" );
document.write( "gone forever approximately 200 years ago, and the attempts to construct any sort of educational framework <BR>\n" );
document.write( "upon this foundation are simply laughable - same as attempts to turn back the hands of time.\r<BR>\n" );
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document.write( "Regarding this remarkable post by @KMST, I only want to warn a reader about her typo: <BR>\n" );
document.write( "in cases when she interprets \"-4 - 5\" as \"-7\", a reader should read \"-4 - 5\" as \"-9\". \r<BR>\n" );
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