Introduction of Sets - Chapter 1

Introduction of Sets – Chapter 1

Today’s Student Tube lecture is about the Introduction of Sets – Chapter 1 (9 & 10 Mathematics – Sindh Board Education)

Introduction of Sets – Chapter 1

A well defined collection of {distinct}objects is called a set.

  • The objects are called the elements or members of the set.
  • Sets are denoted by capital letters A, B, C …, X, Y, Z.
  • The elements of a set are represented by lower case letters a, b, c, … , x, y, z.

TABULAR FORM
Listing all the elements of a set, separated by commas and enclosed within braces
or curly brackets{}.
EXAMPLES
In the following examples we write the sets in Tabular Form.
A = {1, 2, 3, 4, 5} is the set of first five Natural Numbers.
B = {2, 4, 6, 8, …, 50} is the set of Even numbers up to 50.
C = {1, 3, 5, 7, 9 …} is the set of positive odd numbers.

DESCRIPTIVE FORM:
Stating in words the elements of a set.
EXAMPLES
A = set of first five Natural Numbers.( is the Descriptive Form )
B = set of positive even integers less or equal to fifty.
( is the Descriptive Form )

SET BUILDER FORM
Writing in symbolic form the common characteristics shared by all the
elements of the set.
EXAMPLES
A = {x ÎN / x<=5} ( is the Set Builder Form)
B = {x Î E / 0 < x <=50} ( is the Set Builder Form)

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