Question

The set $(A / B) \cup (B / A)$ is equal to]

• A. $[A/ (A \cap B)] \cap [B / (A \cap B)]$
• B. $(A \cup B) / (A \cap B)$
• C. $A / (A \cap B)$
• D. $ \overline{A \cap B } / A \cup B$

Answer 1

Answer: (B)

Now, we know that $( A / B )= A -( A \cap B )$
Also, $( B / A )= B -( B \cap A )$
Thus, we get from the above expressions that,
$( A / B ) \cup( B / A )= A -( A \cap B ) \cup B -( B \cap A )$
Therefore, $( AB ) \cup( B / A )= A \cup B -( A \cap B )$
Or, $( A / B ) \cup( B / A )=( A \cup B ) /( A \cap B )$