document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208147>Question 1208147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The set of digits consists of the following set of numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.\r<BR>\n" );
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document.write( "The textbook tells me that we can denote the set of digits using a Roster Method.\r<BR>\n" );
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document.write( "Let D = set of digits\r<BR>\n" );
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document.write( "D = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }\r<BR>\n" );
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document.write( "The book goes on to say that there is a second way to denote a set. That is to use set-builder notation, where the set D of digits is written as D = { x | x is a digit }.\r<BR>\n" );
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document.write( "Questions\r<BR>\n" );
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document.write( "1. Use the Roster Method to denote the set of even digits.\r<BR>\n" );
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document.write( "Let E = set of even digits.\r<BR>\n" );
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document.write( "Textbook answer: E = { 0, 2, 4, 6, 8 }.\r<BR>\n" );
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document.write( "Why is 0 an element of set E? I thought the whole number 0 is a number without value.\r<BR>\n" );
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document.write( "2. Use Set-builder Notation to denote the set of odd digits.\r<BR>\n" );
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document.write( "Let O = set of odd digits.\r<BR>\n" );
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document.write( "0 = { x | x is an odd digits} = { 1, 3, 5, 7, 9 }\r<BR>\n" );
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document.write( "You say? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846353 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=846353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
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document.write( "(2) is close to be correct, but is not fully correct.\r\n" );
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document.write( "    In order for (2) be fully correct, it should be written in the form\r\n" );
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document.write( "         O = { x | x is an odd digits} = { 1, 3, 5, 7, 9 },\r\n" );
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document.write( "    where symbol O in the left side is letter O (not digit \"0\", meaning zero).\r\n" );
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document.write( "(1) Textbook answer E = { 0, 2, 4, 6, 8 } is correct.\r\n" );
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document.write( "    0 is an even digit.\r\n" );
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document.write( "<U>Question from student</U>: Why is 0 an element of set E? I thought the whole number 0 is a number without value.\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 have neither banknotes nor coins.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Then you say that the amount of cash in your pocket is zero.\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 this truth/conception 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 three 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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