document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133807>Question 1133807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following statements is false?\r<BR>\n" );
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document.write( "A. Mathematical definitions should be written as biconditional statements.<BR>\n" );
document.write( "B. In a conditional statement, the \"if\" clause is called the hypothesis.<BR>\n" );
document.write( "C. In a conditional statement, the hypothesis and the conclusion can be interchanged without affecting the validity of the statement.<BR>\n" );
document.write( "D. A statement formed by connecting two statements with the word \"and\" is called a conjunction\r<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 #751126 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A is true because it's true all the time.\r<BR>\n" );
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document.write( "B is true because it's true all the time.\r<BR>\n" );
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document.write( "C is not true because it's true only some of the time.\r<BR>\n" );
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document.write( "D is true because it's true all the time.\r<BR>\n" );
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document.write( "your answer is C as far as i can tell.\r<BR>\n" );
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document.write( "the hypothesis and the conclusion cannot be inter-changed and the statement always be true.\r<BR>\n" );
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document.write( "they may be true some of the time but may not be true some of the time.\r<BR>\n" );
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document.write( "if the original statement is true and the converse statement is true, then you have a bi-conditional statement.\r<BR>\n" );
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document.write( "an example would be:\r<BR>\n" );
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document.write( "if an object is a triangle then the sum of the interior angles of the object is equal to 180 degrees.\r<BR>\n" );
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document.write( "the converse statement would be if the sum of the interior angles of an object is equal to 180 degrees, then the object is a triangle.\r<BR>\n" );
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document.write( "if the original statement is true and the converse statement is true makes the original statement a biconditional statement and, in this case, a mathematical definition as well.\r<BR>\n" );
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document.write( "however, just because the original statement is true does not always make the converse true.\r<BR>\n" );
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document.write( "consider:\r<BR>\n" );
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document.write( "if a girl is 6 feet tall then she is a tall girl.\r<BR>\n" );
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document.write( "the converse would be if a girl is tall, then she is 6 feet tall.\r<BR>\n" );
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document.write( "while the original statement is true, the converse statement is not always true.<BR>\n" );
document.write( "the girl can be 7 feet tall, or 8 feet tall.<BR>\n" );
document.write( "she does not have to be 6 feet tall.\r<BR>\n" );
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document.write( "statement C says that the hypothesis and the conclusion can be inter-changed without affecting the validity of the statement.\r<BR>\n" );
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document.write( "this is not true all of the time, therefore it must be false.\r<BR>\n" );
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