SOLUTION: Determine which, if any, of the three statements are equivalent. a) If today is Monday, then tomorrow is not Wednesday b) It is false that today is Monday and tomorrow is not W

Algebra ->  Conjunction -> SOLUTION: Determine which, if any, of the three statements are equivalent. a) If today is Monday, then tomorrow is not Wednesday b) It is false that today is Monday and tomorrow is not W      Log On


   

Question 138666: Determine which, if any, of the three statements are equivalent.
a) If today is Monday, then tomorrow is not Wednesday
b) It is false that today is Monday and tomorrow is not Wednesday
c) Today is not Monday or tomorrow is Wednesday
My answer is none of the statements are equivalent. The reason for this is that"a" and "b" are not equivalent, "a" and "c" are not equivalent, and "b" and "c" are not equivalent. I referred to DeMorgan's Laws.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If you construct a truth table for "b" and "c" you
will find they are equivalent.
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And I believe DeMorgan says the following:
(a AND b')' = a' OR b
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Cheers,
Stan H.