If A and B are two any two sets such that each element of the set A is an element of the set B also, then A is said to be a Subset of B.
Symbol used to represent subset : ⊆
Remarks :
(i) Each set is a subset of itself i.e. A ⊆ A .
(ii) Null set has no element so the condition of becoming a subset is automatically satisfied.
Therefore null set is a subset of every set.
(iii) If A ⊆ B and B ⊆ A then A = B .
(iv) If A ⊆ B and A ≠ B then A is said to be a proper subset of B and B is said to be a super
set of A . i.e. A ⊂ B or A ⊃ B .
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