Answers:
(i) A ∪ B = B
Proving, (iii)=(iv)
Let us take, A ∪ B = B
A ∩ B = A.
A ⊂ B and A ∩ B = A
Thus, (iii)=(iv) is proved.
(ii) A ∩ B = A
Proving, (iv)=(i)
Let us take, A ∩ B = A
A ⊂ B
A ∩ B = A and A⊂B
Thus, (iv)=(i) is proved.
Answers:
(i) A ∪ B = B
Proving, (iii)=(iv)
Let us take, A ∪ B = B
A ∩ B = A.
A ⊂ B and A ∩ B = A
Thus, (iii)=(iv) is proved.
(ii) A ∩ B = A
Proving, (iv)=(i)
Let us take, A ∩ B = A
A ⊂ B
A ∩ B = A and A⊂B
Thus, (iv)=(i) is proved.