Sets Relations And Functions Question 7
Question: Which of the following is/are true?
I. If A is a subset of the universal set U then its complement A? is also a subset of U. II. If $ U={1,2,3,….,10} $ and $ A={1,3,5,7,9} $ then $ {{(A’)}^{’}}=A. $
Options:
A) Only I is true
B) Only II is true
C) Both I and II are true
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
- [c]If A is a subset of the universal set U, then its complement A? is also a subset of U. We have, $ A’={2,4,6,8,10} $ Hence, $ (A’)’={x:x\in Uandx\notin A’}={1,3,5,7,9}=A $ It is clear from the definition of the complement that for any subset of the universal set U, we have $ (A’)’=A $
BETA
