Question

If $A$ and $B$ are two sets, then $(AUB)\text{'}U(A\text{'}\cap B)$ is equal to

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

Answer 1

The correct option is A

$A\text{'}$

Explanation for the correct option:

Find the value of $(AUB)\text{'}U(A\text{'}\cap B)$:

By applying Distributive law, we get

$\begin{array}{rcl}& \Rightarrow & A\text{'}\cap \left[(B\text{'}\cup B)\right]=A\text{'}\cap U\\ & =& A\text{'}\end{array}$

Hence, Option ‘A’ is Correct.