Operations with Sets

Numbers and Sets

Introduction

About Algebra

Arithmetic Operations

Addition and Subtraction

Multiplication and Division

Criterions for Divisibility

Real Number System

Types of Numbers

Geometric Interpretation of Real Numbers

Irrational Number

Properties of Real Numbers

Fractions
Proportions

Property of Equal Proportions

Absolute Values

Graphical Illustrations

Sets and Intervals

Sets

Subsets

Operations with Sets

Intervals

Operations with Sets

Key Topics Remaining: Intervals

The set of all common elements of sets A and B is called the intersection of A and B.
The intersection of A and B is denoted as .
According to the definition,

Examples of Iintersections:

The sets of rational and irrational numbers are mutually exclusive ones. They have nothing in common, and so their intersection is a null set.

The union of sets A and B is the set of all elements contained in A or B , or both.
Each element of the union belongs to at least one of the given sets.
The union of sets A and B is denoted symbolically as .

Examples of Unions:

The Venn diagrams illustrate the above definitions graphically.