if A subset of B and A is not equal to B then
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Step-by-step explanation:
If A is a subset of B (A ⊆ B), but A is not equal to B, then we say A is a proper subset of B, written as A ⊂ B or A ⊊ B. The following diagram shows an example of subset.
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If A is a subset of B and A is not equal to B then A is considered to be a proper subset of B
- A proper subset is a type of subset where a set could be a subset of another set but the set would not be equal to the other set.
- A proper subset is always denoted by the symbol ⊂
- For example, if we consider a set A = {1,2,3,4} and set B = (3,4} then, B is considered to be a proper subset of A as B ≠ A. However, some elements of A are present in B.
- The number of possible subsets containing n number of elements from a set containing N number of elements is equal to NCₙ.
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