document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102694>Question 102694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> here is the problem 1 is less than or equal to -w/2<BR>\n" );
document.write( "My question is in the answer the variable is switched to the<BR>\n" );
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document.write( "I am asking why? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74709 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=74709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%3C=-w%2F2 ALIGN=MIDDLE  ALT=\"1%3C=-w%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3C=-w ALIGN=MIDDLE  ALT=\"2%3C=-w\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%3E=w ALIGN=MIDDLE  ALT=\"-2%3E=w\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by -1 to isolate w (note: Remember, multiplying both sides by a negative number flips the inequality sign)\r<BR>\n" );
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document.write( "Now since we're reading from left to right, what does this symbolic inequality say in English? Well it says that -2 is greater than or equal to w. However, many might read this as: w is greater than or equal to -2 (since most would see the greater than sign and connect that with the \"w\") and make a false conclusion. In other words, they would see the w and the greater than sign together and think that w is greater than when in fact it's not.\r<BR>\n" );
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document.write( "So to make things simple, everything is flipped (even the sign) to get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%3C=-2 ALIGN=MIDDLE  ALT=\"w%3C=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Which in plain English reads: w is less than or equal to -2\r<BR>\n" );
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document.write( "So which of the two is easier to read?\r<BR>\n" );
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document.write( "So in a sense, it's all about how you perceive the answer. The first solution <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%3E=w ALIGN=MIDDLE  ALT=\"-2%3E=w\"   DISABLED_style= \"max-width:90%; height:auto;\" > is perfectly fine. But since many may translate the solution wrong, it is better to use the second method.\r<BR>\n" );
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