Which of the following sets is equivalent to \((P \cup Q) \cap (P \cup Q')\)?
a
P
b
\(P \cap Q\)
c
\(P \cup Q\)
d
\(\emptyset\)
Explanation
Correct Option
aNo explanation available
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MosesOlu
1 year ago
The answer is A
Let E= {1,2,3,4,5,6} P = {1, 2, 3} and Q= {4, 5, 6} => Q' = {1, 2, 3} = P
Then PUQ = {1, 2, 3, 4, 5, 6} PUQ' = {1, 2, 3}= P.
Finally, (PUQ) n (PUQ' ) = (PUQ) n P= P
