Question

Write any 4 types of set with 2 examples​

Answer 1

Answer:

Finite Set

A set which contains a definite number of elements is called a finite set.

Example − S = { x | x ∈ N and 70 > x > 50 }

Infinite Set

A set which contains infinite number of elements is called an infinite set.

Example − S = { x | x ∈ N and x > 10 }

Subset

A set X is a subset of set Y (Written as X ⊆ Y) if every element of X is an element of set Y.

Example 1 − Let, X = { 1, 2, 3, 4, 5, 6 } and Y = { 1, 2 }. Here set Y is a subset of set X as all the elements of set Y is in set X. Hence, we can write Y ⊆ X.

Example 2 − Let, X = { 1, 2, 3 } and Y = { 1, 2, 3 }. Here set Y is a subset (Not a proper subset) of set X as all the elements of set Y is in set X. Hence, we can write Y ⊆ X.

Proper Subset

The term “proper subset” can be defined as “subset of but not equal to”. A Set X is a proper subset of set Y (Written as X ⊂ Y ) if every element of X is an element of set Y and $|X| < |Y|.

Example − Let, X = { 1, 2, 3, 4, 5, 6 } and Y = { 1, 2 }. Here set Y ⊂ X since all elements in X are contained in X too and X has at least one element is more