document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121051>Question 1121051</A>: <I><SPAN STYLE=\"word-break: break-all;\"> SHOW THAT AU(BnC) = (AUB)n(AUC) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #736782 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=736782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> create a truth table as shown below:\r<BR>\n" );
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document.write( "the truth table for A or (B and C) is identical to the truth table of (A or B) and (A or C).\r<BR>\n" );
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document.write( "that makes them equivalent.\r<BR>\n" );
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document.write( "A or B is only false if A and B are both false.<BR>\n" );
document.write( "otherwise it is true.\r<BR>\n" );
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document.write( "A and B is only true if A and B are both true.<BR>\n" );
document.write( "otherwise it is false.\r<BR>\n" );
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document.write( "first set up the truth tables for A, B, and C.\r<BR>\n" );
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document.write( "then set up the truth table for B and C.\r<BR>\n" );
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document.write( "then set up the truth table for A or (B and C)\r<BR>\n" );
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document.write( "then set up the truth table for A or B\r<BR>\n" );
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document.write( "then set up the truth table for A or C\r<BR>\n" );
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document.write( "then set up the truth table for (A or B) and (A or C)\r<BR>\n" );
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document.write( "then look at the truth table for A or (B and C) and the truth table for (A or B) and (A or C)\r<BR>\n" );
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document.write( "if they's the same, it means that A or (B and C) is equivalent to (A or B) and (A or C).\r<BR>\n" );
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document.write( "the symbols for or and and are a pain on the typewriter, which is why i just use or for OR and and for AND.\r<BR>\n" );
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document.write( "i probably should have capitalized them, but didn't, and don't really have time to go back and fix that.\r<BR>\n" );
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document.write( "hopefully you'll be able to understand as written.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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