1. Define what a set is in your own words.

2. List the elements of set A = {factors of 12}.

3. Given: P = {2, 4, 6, 8} and Q = {even numbers less than 10} Are sets P and Q equal or equivalent? Explain your answer.

4. If the universal set U = {whole numbers from 1 to 20}, list all elements of U.

5. Using the universal set from question 4, if A = {multiples of 3 from 1 to 20}, find A' (the complement of A).

6. List all possible subsets of the set {a, b}.

7. Given: M = {1, 3, 5, 7, 9} and N = {3, 6, 9, 12} Find M ∩ N (the intersection of M and N).

8. Using the same sets M and N from question 7, find M ∪ N (the union of M and N).

9. Write the correct set symbol (∈, ∉, ⊆, ⊈, ∩, ∪) for each statement: a) 5 _____ {1, 3, 5, 7} b) {2, 4} _____ {1, 2, 3, 4, 5} c) 8 _____ {odd numbers}

10. If X = {students who play football} and Y = {students who play basketball}, explain in words what X ∩ Y represents.

11. A survey of 30 students found: - 18 students like pizza - 15 students like burgers - 8 students like both pizza and burgers How many students like neither pizza nor burgers?

12. In a class of 25 students, let: S = {students who study Spanish} F = {students who study French} If |S| = 15, |F| = 12, and |S ∩ F| = 7, find: a) How many study only Spanish? b) How many study only French? c) How many study neither language?

13. Given the universal set U = {letters in the word MATHEMATICS}, find: a) List all elements in U b) If A = {vowels in MATHEMATICS}, find A'

14. Create your own example of two sets that are equivalent but not equal. Explain why they are equivalent but not equal.

15. A school offers three subjects: Art (A), Music (M), and Drama (D). - 20 students take Art - 15 students take Music - 10 students take Drama - 5 students take both Art and Music - 3 students take both Art and Drama - 2 students take both Music and Drama - 1 student takes all three subjects Draw a Venn diagram and find how many students take exactly one subject.