1.

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

Answer»

(i) A ∩ B

Since, A ∩ B denotes A intersection B. Common elements of A and B consists in this set.

Given as A ⊂ B, every element of A are already an element of B.

∴ A ∩ B = A

(ii) A ⋃ B

Since, A ∪ B denotes A union B. the elements of either A or B or in both A and B consist in this set.

Given as A ⊂ B, B is having all elements including elements of A.

∴ A ∪ B = B



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