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) $\ $(A \cap B)$