2.1 Sets

Exercises

1. Let A be the set of students who lived within one mile of school and let B be the set of students who walk to classes. Describe the students in each of these sets.
a) A ∩ B b) A U B
c) A – B d) B – A
3. Let A = {1, 2, 3, 4, 5} and B = {a, b, c, d, e, f, g, h}. Find
a) A U B b) A ∩ B
c) A – B d) B – A
4. Let A = {a, b, c, d, e} and B = {a, b, c, d, e, f, g, h}. Find
a) A U B b) A U B
c) A – B d) B – A
9. Let A and B be sets. Show that A ∩ (A U B) = A.
19. Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9}. Find
a) A ∩ B ∩ C b) A U B U C
c) (A U B) ∩ C d) (A ∩ B) U C