discrete_mathematics_with_applications/chapter_6/test_yourself.md

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Test Yourself

1. The notation A \subseteq B is read "_____" and means that _____.

2. To use an element argument for proving that a set X is a subset of a set Y, you suppose that _____ and show that _____.

3. To disprove that a set X is a subset of a set Y, you show that there is _____.

4. An element x is in A \cup B if, and only if, _____.

5. An element x is in A \cap B if, and only if, _____.

6. An element x is in B - A if, and only if, _____.

7. An element x is in A^c if, and only if, _____.

8. The empty set is a set with _____.

9. The power set of a set A is _____.

10. Sets A and B are disjoint if, and only if, _____.

11. A collection of nonempty sets A_1, A_2, A_3, \dots is a partition of a set A if, and only if, _____.