Topic 7 Sets – Mathematics Form Two
Objects exist in different categories and characteristics which sometimes may be difficult to describe and understand their nature.
Understanding the concepts of sets simplifies the process of categorising and organising such objeets based on their nature.
In this chapter, you will learn the concept of a set, distinguish between types of sets, perform operations with sets, represent sets in Venn diagrams, and determine the number of elements in a set.
The competencies developed will enable you to simplify, categorise, analyse, and generalise different problems arising from real-life situations more systematically.
Concept of a set
A set is a collection of well defined objects with common and distinct features.
The objects in a set are are called elements or members of the set. The members of a set are usually separated by commas and enclosed within curly brackets { }.
For instance, if B is a set representing students in a class and John is a student in that class, then John is a member of set B or is an element of set B. This relationship is denoted by the symbol e, which means ‘a member of’ or ‘an element of’. That is, John € B.
Forexample, if C={1,2,3},then C, 2€C and 3EC where as 5 € C (5 is not an element of C). The number of distinct elements in set A is represented by n(A). For example, if A={ a, e, i, o, u}, then n(A)=5.
Topic 7 Sets – Mathematics Form Two
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