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ANSWER

{},{1}

EXPLANATION

The given set has one element. So it has [tex]2^1=2[/tex] subsets.

These are,

{} and {1}.

That is, the null set and the set itself.

Remember that, the null set is a subset of every set and every set is a subset of itself.

Answer:

{ } and {1}

Step-by-step explanation:

Let as consider the given set

[tex]S=\{1\}[/tex]

We need to find tall subsets of the given set.

Number of subsets of a set = [tex]2^n[/tex]

where, n is the number of elements in that set.

In the given set the number of elements = 1.

Number of subsets of given set = [tex]2^1=2[/tex]

So, the number of subsets of given set is 2.

If all elements of set A are included in set B, then A is subset of set B.

[tex]A\subseteq B[/tex]

Empty set or ∅ is the subset of all sets and each set is the subset of itself. It means

[tex]\{ \}\subseteq \{1\}[/tex]

[tex]\{ 1\}\subseteq \{1\}[/tex]

Therefore, subsets of given set are { } and {1}.

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