1. True.

2. This is false because the number of elements is 3 for the first set and 4 for the second one.

3. True.

4. False because the set {dog} is a subset of {cat, dog, mouse}. The only element of {dog} is an element of the set {cat, dog, mouse}.

5. True.

6. False because not all the elements of the two sets are the same. For example, tulip belongs to the first set but not to the second one.

7. True.

8. True.

9. True (A' denotes the complement of the set A).

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