Define : Subset and superset of a set:

1.	Define : Subset and superset of a set:
Answer» If every element of set A is also an element of set B, then A is a subset of B. We write it symbolically as A ⊆ B where ‘⊆’ denotes ‘is a subset of’. Ex. A = {4, 8, 12}, B = { 2, 4, 6, 8, 10, 12}, then A ⊆ B. ⇒ A is contained in B ⇒ B contains A ⇒ B is a superset of A ⇒ B ⊇ A Note : (i) Every set is a subset of itself. (ii) Null set is a subset of every set.

Answer»

If every element of set A is also an element of set B, then A is a subset of B.

We write it symbolically as A ⊆ B where ‘⊆’ denotes ‘is a subset of’.

Ex. A = {4, 8, 12}, B = { 2, 4, 6, 8, 10, 12}, then A ⊆ B.

⇒ A is contained in B

⇒ B contains A

⇒ B is a superset of A

⇒ B ⊇ A

Note : (i) Every set is a subset of itself.

(ii) Null set is a subset of every set.

Discussion