Write all the subsets of the set {∅,1}.

To find all subsets of the set \(\{ \emptyset, 1 \}\), we can list them as follows:

1. \(\emptyset\) (the empty set)
2. \(\{\emptyset\}\) (the set containing only the empty set)
3. \(\{1\}\) (the set containing only the element 1)
4. \(\{\emptyset, 1\}\) (the set containing both elements)

Thus, the complete list of subsets is:

1. \(\emptyset\)
2. \(\{\emptyset\}\)
3. \(\{1\}\)
4. \(\{\emptyset, 1\}\)

If you have any questions or need further details, let me know! Here are some follow-up questions you might consider:

1. What is the concept of a power set?
2. How many subsets does a set with \(n\) elements have?
3. Can you explain the significance of the empty set in set theory?
4. What are the properties of subsets?
5. How would you find subsets for a larger set? 

**Tip:** To find subsets of any set, remember that each element can either be included or excluded, leading to \(2^n\) possible subsets for a set with \(n\) elements.

Discover how to find all subsets of the set {∅, 1}. This page details the subsets including the empty set and the full set, demonstrating the concept of power sets in set theory. Suitable for students in Grades 6-8.

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