Write down all the subsets of the following sets:

(i) {a}

(ii) {a, b}

(iii) {1, 2, 3}

(iv) Φ

Asked by Pragya Singh | 11 months ago |  82

1 Answer

Solution :-

(i) Given that,

{a}

To write the subset of the given sets

A set A is said to be a subset of B if every element of A is also an element of B

A ⊂ B if a ∈ A,a ∈ B

Subsets of {a} are Φ and {a}

 

(ii) Given that,

{a, b}

To write the subset of the given sets

A set A is said to be a subset of B if every element of A is also an element of B

A ⊂ B if a ∈ A,a ∈ B

Subsets of {a, b}  are Φ {a}, {b}, and {a, b}.

 

(iii) Given that,

 {1, 2, 3}

To write the subset of the given sets

A set A is said to be a subset of B if every element of A is also an element of B

A ⊂ B if a ∈ A,a ∈ B

Subsets of  {1, 2, 3}  are  Φ, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}, and {1, 2, 3}.

 

(iv) Given that,

Φ

To write the subset of the given sets

A set A is said to be a subset of B if every element of A is also an element of B

A ⊂ B if a ∈ A,a ∈ B

Subsets of Φ is Φ. 

Answered by Abhisek | 11 months ago

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