document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=847249>Question 847249</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For each of the following sets, indicate if the Well-Ordering Principle guarantees a<BR>\n" );
document.write( "smallest member. Find the smallest member of each of the given sets if you can.<BR>\n" );
document.write( "(a) All positive integers that can be written in the form 397x + 541y, where x and<BR>\n" );
document.write( "y can be any integers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #510579 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=510579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The set of positive integers is well-ordered, so any subset of the positive integers is also well-ordered.\r<BR>\n" );
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document.write( "gcd(397, 541) = 1, so 1 is the smallest positive integer of the form 397x + 541y. </SPAN>\n" );
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