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Question -

If A and B are two sets such that A ⊂ B, then Find:
(i) A ⋂ B
(ii) A ⋃ B



Answer -

(i) A ∩ B
A ∩ B denotes A intersection B. Common elements of A and B consists in this set.
Given A ⊂ B, every element of A are already an element of B.
∴ A ∩ B = A
(ii) A ⋃ B
A ∪ B denotes A union B. Elements of either A or B or in both A and B consist in this set.
Given A ⊂ B, B is having all elements including elements of A.
∴ A ∪ B = B

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