https://file.aiquickdraw.com/mathbot/file/1728022743149fpthj1s9.jpg

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 \( 2^n \).

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

Learn why a set A with only one subset must contain 0 elements, exploring core concepts from set theory, including subsets and the properties of the empty set. Suitable for students in Grades 8-10.

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