1.

Define subset of a set.

Answer»

A set A is said to be subset of set B if every element of A is also an element of B, and we write, A ⊆ B 

  • If A ⊆ B then B is called a superset of A, and we write, B ⊇ A 
  • If A ⊆ B and A ≠ B then A is called a proper subset of B.
  • If there exists even a single element in A which is not in B, then A is not a subset of B and we write, A⊄B 
  • Every set A is a subset of itself
  • Empty set φ is a subset of every set.


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