The statement in the image reads:

"If a set $A$ has one subset, then $A$ contains 0 elements."

This is true, and here's why:

1. Subsets of a set: A subset of a set $A$ is any set that can be formed by selecting some (or none) of the elements of $A$, including the empty set.

2. Empty set as the only subset: If a set $A$ has exactly one subset, the only possibility is that this subset is the empty set $\emptyset$. For any non-empty set, there will always be more than one subset (including the empty set and other combinations of elements).

3. Conclusion: Therefore, if $A$ has only one subset, it must be that $A = \emptyset$ (i.e., the set contains no elements), because the only subset of an empty set is the empty set itself.

Would you like further details or clarification?

Related questions:

1. What is the definition of a subset?
2. How many subsets does a set with one element have?
3. What is the power set of a set, and how does it relate to subsets?
4. Can a set have zero subsets?
5. How do you calculate the number of subsets of a set with $n$ elements?

Tip:

For any set with $n$ elements, the total number of subsets is $2^n$.