May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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Set Theory 1-3
1.2.1 Types of Sets
Finite and Infinite Sets
A set containing finite number of elements is called a finite set. A set that contains infinitely
many elements is called an infinite set.
For example
1. The set of days in a week.
2. The set of banks in a city.
3. The set of hospitals in a district.
4. The set of teachers in a college.
5. xx x
:,
6720
1
2
2
3
2
−+=
{}
=
all are finite sets.
Examples of Infinite Sets
N = {1, 2, 3,…}, the set of natural numbers.
Z = {0, ±1, ±2,…}, the set of integers.
Q = {x: x = a/b, a, b ∈ Z and b ≠ 0}, the set of rational numbers.
R = Set of real numbers, R
+
= Set of positive real numbers = {x: x ∈
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