# Try It Now

## Exercises

- 1. List four elements of each of the following sets:
- List all elements of the following sets:

- Describe the following sets using set-builder notation.

- {5, 7, 9, . . ., 77, 79}
- the rational numbers that are strictly between -1 and 1
- the even integers
- {-18, -9, 0, 9, 18, 27, . . .}

- Use set-builder notation to describe the following sets:

- {1, 2, 3, 4, 5, 6, 7}
- {1, 10, 100, 1000, 10000}
- {1, 1/2, 1/3, 1/4, 1/5}
- {0}

- Let
*A*= {0, 2, 3}, B= {2, 3}, and*C*= {1, 5, 9}. Determine which of the following statements are true. Give reasons for your answers.

- One reason that we left the definition of a set vague is Russell's Paradox. Many mathematics and logic books contain an account of this paradox. Find one such reference and read it.

Source: Al Doerr and Ken Levasseur, http://faculty.uml.edu/klevasseur/ads-latex/ads.pdf

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