Question

List all the subsets of the following sets. $$ \varnothing $$

Short answer

The only subset of the empty set \(\varnothing\) is the empty set \(\varnothing\) itself.

Step-by-step solution

Understand Subsets of an Empty Set

In set theory, every set, including an empty set, has at least one subset, which is itself. As the empty set \(\varnothing\) doesn't contain any elements, it is the only subset of itself.

List the Subsets

List out the subset of the empty set. As noted in the previous step, the empty set is the only subset of itself. Therefore, the only subset of \(\varnothing\) is \(\varnothing\) itself.