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)

Given set can be written as
$(A-B)\cup (B-A)=(A\cup B)-(A\cap B)$
(By definition of symmetric difference)
Hence, (A \ B)$\cup$(B \ A)$=(A\cup B)$\ $(A\cap B)$