Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Consider the statement about a party, “If it’s your birthday or there
will be cake, then there will be cake.”
(a) Translate the above statement into symbols. Clearly state which
statement is P and which is Q.
(b) Make a truth table for the statement.
(c) Assuming the statement is true, what (if anything) can you
conclude if there will be cake?
(d) Assuming the statement is true, what (if anything) can you
conclude if there will not be cake?
(e) Suppose you found out that the statement was a lie. What can
you conclude?
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