Question

what is proper subsets.

Explain with example.

Answer 1

GIVEN :

What is proper subsets.

TO EXPLAIN :

The definition of proper subsets with example

SOLUTION :

Proper Subset:

• Let A and B be any two sets.

• If A and B are two sets, then A is said to be a proper subset of B if A ⊆ B but B ⊇ A i.e., $A\neq B$.
• The  proper subset is denoted by the symbol ⊂

• Symbolically, we write A ⊂ B and is pronounced as A is a subset of B

• A proper subset of a set A is a subset of A and that is not equal to the set A.
• In other words, if the set B is a proper subset of the set A, then all elements of B are in the set A but A contains one element that is not in B.

For example :

If A={1,3,5} then B={3,5} is a proper subset of A.