document.write( "Question 179192This question is from textbook
\n" ); document.write( ": Determine which, if any, of the three statements are equivalent.
\n" ); document.write( " a) If today is Monday, then tomorrow is not Wednesday
\n" ); document.write( " b) It is false that today is Monday and tomorrow is not Wednesday
\n" ); document.write( " c) Today is not Monday or tomorrow is Wednesday
\n" ); document.write( "I do not think any of these are equivalent, ?? Is this sound thinking...? \n" ); document.write( "

Algebra.Com's Answer #134139 by Mathtut(3670) $\"\"$ $\"About$

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11. (4 pts) Determine which, if any, of the three statements are equivalent.
\n" ); document.write( " a) If today is Monday, then tomorrow is not Wednesday
\n" ); document.write( " b) It is false that today is Monday and tomorrow is not Wednesday
\n" ); document.write( " c) Today is not Monday or tomorrow is Wednesday
\n" ); document.write( "

\r\n" );
document.write( "p=today is monday \r\n" );
document.write( "q= tomorrow is wednesday \r\n" );
document.write( "a) p -> ~q \r\n" );
document.write( "b) ~(p ^ ~q) \r\n" );
document.write( "c) ~p v q \r\n" );
document.write( "\r\n" );
document.write( "p    q      a)       b)      c) \r\n" );
document.write( "t    t      f        t       t \r\n" );
document.write( "t    f      t        f       f \r\n" );
document.write( "f    t      t        t       t \r\n" );
document.write( "f    f      t        t       t \r\n" );
document.write( "\r\n" );
document.write( "statements b and c are equivalent \r\n" );
document.write( ":\r\n" );
document.write( "In Demorgan's Law, you can think of it almost like the distributive property. with a few tweeks\r\n" );
document.write( ":so in b) to get rid of the parenthesis you would change the p to ~p and the ~q to q  and instead of ^(and) it changes to v(or) so it becomes ~p v q . as you can see it is the same as c)  so remember the signs change much like the + and - in distribution and the  and \"^\" sign or the or \"v\" signs change from one to the other(inside and outside of the parenthesis) \r\n" );
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document.write( ":\r\n" );
document.write( "

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