Question

Write all subsets of set A = {phi, 1}.​

Answer 1

Answer:

{1},{ϕ},{ϕ,1}

Step-by-step explanation:

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Let A={ϕ,1}

Hence,

Subsets of A are {1},{ϕ},{ϕ,1}

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Answer 2

Concept:

If every component of Set A is also present in Set B, then Set A is said to be a subset of Set B. To put it another way, Set B contains Set A.

As an illustration, if set A has the elements X, Y, and set B contains the elements X, Y, and Z, then set A is the subset of set B.

A subset is represented in set theory by the symbol ⊆, which means "is a subset of."

When there are "n" elements in a set, there are 2ⁿ subsets of that set, and there are 2ⁿ-1 proper subsets of that subset.

Given:

A={ϕ,1}

Find:

Write all subsets of set A = {phi, 1}.​

Solution:

Let A={ϕ,1}

No. of subsets of A=2ⁿ

                                =2²

                                =4

Hence,

Subsets of A are ϕ, {1},{ϕ},{ϕ,1}

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