Abstract Algebra: Theory and Applications – Chapter 1 – Question 1 By Maths Grinds

This question is from the book Abstract Algebra: Theory and Applications by Thomas W. Judson.

---

Chapter 1 – Question 1

Suppose that
$$A = \{x : x \in \mathbb{N} \text{ and } x \text{ is even}\},$$
$$B = \{x : x \in \mathbb{N} \text{ and } x \text{ is prime}\},$$
$$C = \{x : x \in \mathbb{N} \text{ and } x \text{ is a multiple of } 5\}.$$ Describe each of the following sets.
(a) $A \cap B$
(b) $B \cap C$
(c) $A \cup B$
(d) $A \cap (B \cup C)$

---

Video Solution – Full