topic1-set.pdf - At the end of this topic student should be...

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At the end of this topic, student should be able to: 1.1 Represent sets using standards notation 1.2 Recognize different types of sets 1.3 Apply Venn diagram to represent set operations
1.1 Represent sets using standards notation DAT10203:TOPIC 1 SET 2 Prepared by Mazniha Berahim
A set is a unordered collection of object, which are called elements or members of the set. For example: A set of all positive integers A set of all the planets in the solar system A set of all the states in India A set of all the lowercase letters of the alphabet Set theory forms the basis of several other fields of study like counting theory, relations, graph theory DAT10203:TOPIC 1 SET 3 Prepared by Mazniha Berahim
Sets can be represented in three ways : i. Description ii. Roster or Tabular Form iii. Set Builder Notation DAT10203:TOPIC 1 SET 4 Prepared by Mazniha Berahim
i. Description of a set A statement describe the elements of a set. Examples: Write a description of the set containing the elements Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.
DAT10203:TOPIC 1 SET 5 Prepared by Mazniha Berahim
ii. Roster Form of a set The set is represented by listing all the elements comprising it. The elements are enclosed within braces and separated by commas. Examples: Write a set A is the set of natural number less than 6 in roster form A
DAT10203:TOPIC 1 SET 6 Prepared by Mazniha Berahim
iii. Set-Builder Notation Form of a set The set is defined by specifying a property that elements of the set have in common. The set is described as Examples: Write set in set-builder notation 5 , 4 , 3 , 2 , 1 B
DAT10203:TOPIC 1 SET 7

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