document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443917>Question 443917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you write an open sentence involving absolute value?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306126 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=306126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Write an open sentence, put absolute value bars in it somewhere.  Make sure you haven't written something impossible so as to make it always false or always true.\r<BR>\n" );
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document.write( "For example, don't write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ |x\ -\ 6|\ =\ -3\">\r<BR>\n" );
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document.write( "That is because the absolute value of anything is ALWAYS positive, hence no expression contained in absolute value can take on a negative value.  The example is a sentence involving absolute value but it is a closed sentence because it is always false.\r<BR>\n" );
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document.write( "Also, don't write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ |\ \ \">any real-valued expression <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ |\ \geq\ 0\">\r<BR>\n" );
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document.write( "That is because no matter what is in the absolute value bars in the example, the value will always be positive.  This is also a sentence that involves absolute value but is a closed sentence, this time because it is always true.\r<BR>\n" );
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document.write( "Now all you have to do is write one where you cannot say the sentence is always true or always false.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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