document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=393374>Question 393374</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If y is an integer,which of the following is always an even integer?\r<BR>\n" );
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document.write( "(a) y + 1\r<BR>\n" );
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document.write( "(b) 4y\r<BR>\n" );
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document.write( "(c) 4y + 1\r<BR>\n" );
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document.write( "(d) .772 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279269 by </B><A HREF=/tutors/aboutme.mpl?userid=neatmath><B>neatmath(302)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=neatmath><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=neatmath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><font face=\"Tahoma\">The easiest way to do these types of problems, is to try to come up with examples that make the choices incorrect. <br>\r<BR>\n" );
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document.write( "For example:<br>\r<BR>\n" );
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document.write( "a) if I use 2, then 2+1=3 since 3 is not an even number, a must be wrong<br>\r<BR>\n" );
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document.write( "c) again, if I use 2, then 4*2+1=9, which is not even! c must be wrong<br>\r<BR>\n" );
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document.write( "d) .772 is obviously not an even number<br>\r<BR>\n" );
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document.write( "The correct choice must be b!<br>\r<BR>\n" );
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document.write( "No matter which choice of integer we use for y, 4y will always be even!<br>\r<BR>\n" );
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document.write( "You may hear some arguments that 0 is NOT an even integer, but most, if not all, mathematicians consider 0 to be an even integer.<br>  \r<BR>\n" );
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document.write( "And for the sake of this question, they are obviously implying that 0 IS an even integer.<br>\r<BR>\n" );
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document.write( "From mathforum.org:<br>\r<BR>\n" );
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document.write( "\"Integers are the whole numbers, negative whole numbers, and zero... <BR>\n" );
document.write( "The terms even and odd only apply to integers; 2.5 is neither even nor <BR>\n" );
document.write( "odd. Zero, on the other hand, is even since it is 2 times some <BR>\n" );
document.write( "integer: it's 2 times 0.\"<br>\r<BR>\n" );
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document.write( "I hope this helps!<br> </SPAN>\n" );
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