Consider the following statements: 1. $A=(A \cup B) \cup(A-B)$ 2. $A \cup(B-A)=(A \cup B)$ 3. $B=(A \cup B)-(A-B)$ Which of the statements given above are correct?

1. $A=(A \cup B) \cup(A-B)$ - $(A \cup B) \cup(A-B)=A \cup B$, which is not necessarily equal to $A$. - False 2. $A \cup(B-A)=A \cup B$ - $B-A$ contains elements in $B$ but not in $A$. - Taking union with $A$ includes all elements of $B$, so $A \cup B$ holds. - True 3. $B=(A \cup B)-(A-B)$ - $A-B$ removes elements of $A$ that are not in $B$. - Subtracting this from $A \cup B$ leaves only $B$. - True Answer: (b) 2 and 3 only.