Page 5 - 091math-wb-w3-(sets)

WORKBOOK

NOTATION: Each set is represented by a …………. letter such as A, B, C…etc. If “x” is an element of a set A,

we write …………., and if “x” is not an element of A, we write …………….

Example 3: Fill in the blanks with  or  if A= {2, {4}, 6, 8, 9}

i) 1.......A ii) 2.......A iii) {4} .......A iv) {8} .......A

SPECIFICATION OF SETS: There are three main ways to specify a set:

1. Listed form: Each element of the set is written inside the brackets, “” and separated by commas.

For instance, let A denote the set of letters in the word “ÇANAKKALE”. Hence, we can write the set A by the

listed method as

A = {………………………}

2. Venn Diagram Form: Sometimes sets are described by means of regions enclosed in simple closed
geometric figures such as; circles, squares, rectangles, etc. The description of a set by a geometric region is
called a Venn Diagram. Elements are marked as points.

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3. Set-Builder Form (The Defining- Property Method): If there are some common properties among

the elements of the set, then set-builder form of a set can be used to write it. In this method, a letter such
as x stands for each element of the set. Hence, we can write the set as

A = {x: ……….} or A = {x ……….}

For example; A = {2, 3, 5, 7} is written by set-builder form as A = { x x is a prime number and x<10 }

5 091math-wb-w3-(sets)