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, $(A/B)\cup (B/A)=(A\cup B)/(A\cap B)$