1.

 a. {the 5 vowels} c. {multiples of 7} e. {odd numbers} b. {the first five prime numbers} d. {the first five square numbers} f. {the first 4 cubes plus one}

2.

 a. {2, 4, 6, 8, ...} c. {1, 2, 3, 4, 6, 12} e. {1, 8, 27, 64, 125} b. {53, 59} d. {0, 1, 2, 3, 4} f. {-2, -1, 0, 1, 2, 3}

3. Describe in set builder notation (similar to questions 2e and 2f above):

 a. {x: x N} or {x: x > 0, x W} b. {x: 4 < x < 8, x W} c. {x: -2 ≤ x ≤ 4, x I}

4. If A = {3, 4} and B = {4, 5, 6}, find:

 a. n(A) = 2 c. n(B) = 3 e. A ∩ B = {4} b. A B = {3, 4, 5, 6} d. n(A B) = 4 f. n(A ∩ B) = 1

5.Subsets of {7, 8, 9}= { }, {7}, {8}, {9}, {7,8}, {7,9}, {8,9}, {7, 8, 9}

6. If A = {4, 5}, B = {3, 4} and C = {1, 2, 3, 4, 5}, is it true or false that:

 a. A and B are equal sets is FALSE d. C A is FALSE g. A ∩ B = {3, 4, 5} is FALSE b. A and B are equivalent sets is TRUE e. A B = {4} is FALSE h. C is a finite set is TRUE c. 4 (A ∩ B) is TRUE f. If C is the universal set, A' = {1, 2, 5} is FALSE i. n(A ∩ B) = 1 is TRUE

7. If E = {3, 4, 5}, F = {5, 6} and G = {7, 8, 9}, list the following sets:

 a. E ∩ F = {5} d. F E = {3, 4, 5, 6} g. E ∩ G = { } b. A suitable universal set. {3,4,5,6,7,8,9} e. E X F = {(3,5),(3,6),(4,5),(4,6),(5,5),(5,6)} h. E F G = {3,4,5,6,7,8,9} c. (E ∩ F) ∩ G = { } f. n(G) = 3 i. n(E ∩ F) = 1

8. If X = {1, 2} and Y = {2}, is it true or false that:

 a. n(X) = 3 is FALSE c. n(Y) = 1 is TRUE e. 2 X is FALSE b. X Y is FALSE d. X and Y are disjoint sets is FALSE f. X ∩ Y = {2} is TRUE

9. A = {x: x ≥ 4. x  } 10. B = {x: -1 ≤ x < 4. x I} 