Question

For any set $A,\left(A\text{'}\right)\text{'}$is equal to

• A. $A\text{'}$
• B. $A$
• C. $\varphi$
• D. None of these

Answer 1

The correct option is B

$A$

Explanation for the correct option:

The complement of set $A$ is a set that contains all the elements of the universal set $U$ but except those in set $A$. It is represented as $A\text{'}$.

i.e. $A\text{'}=U-A$

Now, $\left(A\text{'}\right)\text{'}=U-\left(U-A\right)=A$

Hence, we can say that complement of a complement set is the set itself.

$\therefore$For any set $A,\left(A\text{'}\right)\text{'}$is equal to $A$.

Hence, the correct option is option B