document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208139>Question 1208139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use set-builder notation to denote the set of all even digits.\r<BR>\n" );
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document.write( "Let me see. \r<BR>\n" );
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document.write( "Let E = set of even digits\r<BR>\n" );
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document.write( "E = { x | x is an even digit } = { 0,2,4,6,8 }\r<BR>\n" );
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document.write( "Why is 0 an element of set E? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846336 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</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=846336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Use set-builder notation to denote the set of all even digits.<BR>\n" );
document.write( "Let me see.<BR>\n" );
document.write( "Let E = set of even digits\r<BR>\n" );
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document.write( "(a) E = { x | x is an even digit } = { 0,2,4,6,8 }<BR>\n" );
document.write( "(b) Why is 0 an element of set E?<BR>\n" );
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document.write( "(a) is correct;\r\n" );
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document.write( "(b) is by definition (since 0 is an even number).\r\n" );
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document.write( "<U>Comment from student</U>: How is zero (the absence of value) be an even number?\r<BR>\n" );
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document.write( "<U>My response</U>. It is a great mistake and a fatal error to think that zero is the absence of value.\r<BR>\n" );
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document.write( "In opposite, zero has a very specific value and expresses the absent of amount.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A typical example is when in your pocket \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;you do not have neither banknotes nor coins.\r<BR>\n" );
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document.write( "When you divide zero by two in integer numbers, you obtain zero as the quotient and zero as the remainder.\r<BR>\n" );
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document.write( "It means that zero is an even number, in the row of other even integer numbers <BR>\n" );
document.write( "that are divisible by two with no remainder.\r<BR>\n" );
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document.write( "Usually/normally, students learn these truths/conceptions in the second or third grade.\r<BR>\n" );
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document.write( "As I see from your posts, you try to review College Algebra without having necessary \r<BR>\n" );
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document.write( "elementary standard basic knowledge (prerequisites) related to the second and/or  third grade.\r<BR>\n" );
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document.write( "I just made similar notices two times before, responding to your preceding posts.\r<BR>\n" );
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document.write( "So, if you want to know my opinion, it is that you should not reviewing College Algebra,\r<BR>\n" );
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document.write( "but start from Arithmetic and then continue with Pre-Algebra.\r<BR>\n" );
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document.write( "It will better correspond to your current level in Math.\r<BR>\n" );
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