document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1027028>Question 1027028</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which one of these statements is false?<BR>\n" );
document.write( "A.Three statements below are true.<BR>\n" );
document.write( "B.The above statement is true.<BR>\n" );
document.write( "C.One of the above statements is false.<BR>\n" );
document.write( "D.The statement below is true.<BR>\n" );
document.write( "E.This statement is true.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642478 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=642478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume that B is true. Then A is true, and C is false. Because three of the statements {B,C,D,E} are true, we have that D and E are true. This gives a consistent assignment of truth values to the statement.\r<BR>\n" );
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document.write( "Assume that B is false. Then A is false. Assuming exactly one of the five statements is false, we have found two false statements here, a contradiction.\r<BR>\n" );
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document.write( "Therefore C is false. </SPAN>\n" );
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