Question

List all subsets of the following set [1]?

Answer 1

ANSWER

{},{1}

EXPLANATION

The given set has one element. So it has $2^1=2$ 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 2

Answer:

{ } and {1}

Step-by-step explanation:

Let as consider the given set

$S=\{1\}$

We need to find tall subsets of the given set.

Number of subsets of a set = $2^n$

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 = $2^1=2$

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.

$A\subseteq B$

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

$\{ \}\subseteq \{1\}$

$\{ 1\}\subseteq \{1\}$

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