Answer the following questions:

1. Subsets vs. Proper Subsets: In your own words, please make 3 observations about the similarities and differences in meaning between these symbols: "less than, less than or equal to, subset, proper subset".

2. Null Set: Explain in your own words why the null set is a subset of every set.

3. Set Operations: Give an example of sets A and B such that their union is equal to B and their intersection is equal to A. What must be the relationship between A and B in order to make this happen?

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