Yes, \(\{2\} \subseteq \{1, \{2\}, \{3\}\}\).

### Explanation:
For \(\{2\} \subseteq \{1, \{2\}, \{3\}\}\) to be true, every element of the set \(\{2\}\) must be an element of the set \(\{1, \{2\}, \{3\}\}\).

- The only element in \(\{2\}\) is \(2\).
- The set \(\{1, \{2\}, \{3\}\}\) contains the element \(\{2\}\), but not the element \(2\) itself. Thus, \(\{2\}\) is **not** a subset of \(\{1, \{2\}, \{3\}\}\).

So the correct answer is **no**.

Let me know if you want a deeper dive or have further questions! 

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### 5 Related Questions:
1. What is the difference between a set and an element of a set?
2. How do you determine if a set is a subset of another set?
3. What does it mean for a set to be a proper subset?
4. What is the difference between \(\subseteq\) and \(\in\)?
5. How can you prove whether one set is a subset of another?

### Tip:
Always remember that for \(\{a\} \subseteq \{b\}\) to be true, \(a\) must be an element of \(\{b\}\). A set \(\{a\}\) does not necessarily mean that \(a\) is an element of the other set directly—it's the elements of the sets that matter.

Learn whether the set {2} is a subset of {1, {2}, {3}} with a detailed explanation of set theory and subset relations. This problem covers the concept of subsets and the difference between elements and sets. Suitable for students in Grades 9-12.

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