what is the difference between
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In mathematics, especially in set theory, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B.
A set `A` is a subset of another set `B` if all elements of the set `A` are elements of the set `B`. In other words, the set `A` is contained inside the set `B`. The subset relationship is denoted as `A \subset B`.
B={1,2} n(B) =2
NOTE:-
Set of all subsets of B are known as power set P(B)
[ n(P(B)) =2 ^n where n= number of elements in Set B ]
P(B) =Subsets (B) = {{} ,{1},{2},{1,2}}
n(P(B) = 2^2 = 4
Here { },{1},{2} are proper subsets and {1,2} is an improper subset
Symbol Symbol Name Meaning / definition
A⊆B subset A is a subset of B. set A is included in set B.
A⊂B proper subset / strict subset A is a subset of B, but A is not equal to B.
A set `A` is a subset of another set `B` if all elements of the set `A` are elements of the set `B`. In other words, the set `A` is contained inside the set `B`. The subset relationship is denoted as `A \subset B`.
B={1,2} n(B) =2
NOTE:-
Set of all subsets of B are known as power set P(B)
[ n(P(B)) =2 ^n where n= number of elements in Set B ]
P(B) =Subsets (B) = {{} ,{1},{2},{1,2}}
n(P(B) = 2^2 = 4
Here { },{1},{2} are proper subsets and {1,2} is an improper subset
Symbol Symbol Name Meaning / definition
A⊆B subset A is a subset of B. set A is included in set B.
A⊂B proper subset / strict subset A is a subset of B, but A is not equal to B.
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