Question

3. If A and B are two non empty sets then
AUB=BnA iff*
O ACB
OBCA
O A=B
O None of these​

Answer 1

Answer:

the answers is none of these

Answer 2

$If \: A \: and \: B \: are \: two \: non \: empty \\sets \: then \: A\cup B = B \cap A \: iff\: \underline{ \pink { A = B }}$

Example:

Let A = { 1,2} and B = { 1,2}

$\green { \: A = B }$

$\blue {i)A\cup B }\\= \{ 1,2\} \cup \{ 1,2\} \\= \{ 1,2\}$

$\blue {ii) A\cap B }\\= \{ 1,2\} \cap \{ 1,2\} \\= \{ 1,2\}$

$\therefore \green { A\cup B = A\cap B }$

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