Question

{5},Identify if the given set are empty set or singleton set.

Answer 1

Answer:

The given set is A = {5}.

Here, we observe one element, hence, the given set is a singleton set.

• A singleton set consists of of a single element in the set. Eg:- A = {1}.

• An empty set consists of no elements in the set. Eg:- A = {∅}.

• A finite set consists of finite number of elements in the set. Eg:- A = {1, 2, 3}.

• An infinite set consists of infinite number of elements in the set. Eg:- A = {1, 2, 3, .....}.

• Two steps are to be a subset of each other when every element of set 1 is also an element of set 2. Eg:- A = {1, 2, 3}, B = {1, 2, 3, 4}, A subset B.

• The collection of all the subsets of one set is known as the power set. Eg:- A = {1,2}, P(A) = {∅,{1},{2},{1,2}}.