Sets Relations And Functions Question 8
Question: For a set A, consider the following statements:
- $ A\cup P(A)=P(A) $
- $ {A}\cap P(A)=A $
- $ P(A)-{A} \neq P(A) $ where P denotes power set. Which of the statements given above is/are correct?
Options:
A) 1 only
B) 2 only
C) 3 only
D) 1, 2 and 3
Show Answer
Answer:
Correct Answer: A
Solution:
Since the power set is the collection of all the subsets of the set A, therefore $ A \cup P(A) = P(A) $ $ \therefore $ statement (1) is correct.
BETA
