1. What is the difference between a subset and a proper subset? 2. Give an example of an infinite set that is a proper subset of some other infinite set. 3. For each of the following set operations,...

1. What is the difference between a subset and a proper subset?

2. Give an example of an infinite set that is a proper subset of some other infinite set.

3. For each of the following set operations, draw Venn diagrams whose shaded regions illustrate the contents of the specified set expression:

a. A ∪ (B ∩ C)

b. (A – C) ∩ (B – C)

c. (A – B) ∪ (B – A)

d. (A ∪ B) – (A ∩ B)