document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1113555>Question 1113555</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following is a linear constraint?<BR>\n" );
document.write( " 5y + 3x2 &#8805; 33<BR>\n" );
document.write( " 17x + 3xz &#8804; 4<BR>\n" );
document.write( " 7x &#8804; 3xy + 14z - 12<BR>\n" );
document.write( " 3x &#8805; 14y + 2z + 13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #728626 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=728626\">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( "In order to be a linear constraint, all of the terms must be linear or constant.  A linear term is one where the sum of the exponents on the variables in the term is 1 and a constant term is where the sum of the exponents on the variables is 0.  If a term has no visible variables, you can assume as many variables as you like are there so long as all of the exponents are zero.  If you see a variable without an exponent, you can assume an exponent of 1 on that variable.  Symbolically:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^0\ =\ 1\"> no matter what <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> is.  And <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^1\ =\ x\">\r<BR>\n" );
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document.write( "Examples:\r<BR>\n" );
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document.write( "A constant term, aka a term of degree 0:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 4\ =\ 4x^0\">\r<BR>\n" );
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document.write( "A linear term, aka a term of degree 1.  Note the sum of the exponents is 1:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ x^1y^0\">\r<BR>\n" );
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document.write( "A non-linear term, in this case a term of degree 2.  Note the sum of the exponents is 2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ xy\ =\ x^1y^1\">\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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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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