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SETS

Posted by : Allan_Dell on Friday, June 28, 2013 | 6:06 AM



SETS


- Any collection of well-defined objects.



TYPES OF SETS

1. Roster method or list method

- this is the representation by listing down the elements of the set.

- a set that has an element listed and is separated by a comma.

ILLUSTRATION:

Set A = { a,e,i,o,u}

Set B = { 1,2,3,4,5,6 }

Set C = { 1,2,3,4….}

Set D = { nurse, doctor,patient}


2. Rule Method

- a set where the members are described.

- this is a set that is representing its element by a statement.

ILLUSTRATION:

Set A = { x/x is a set of vowel in an English Alphabet}  [this means Set A = { a,e,i,o,u}]

Set B = { x/x is a counting numbers less than 7}  [this means Set B = { 1,2,3,4,5,6}]

Set C = { x/x is a set of counting numbers}  [this means Set C = { 1,2,3…..}]

Exercises:

Let U = { x / x is a counting number less than 10}
      
       A1 = {1, 2, 4, 6, 8}
       A2 = {2, 4, 5, 9}
       A3 = {x/x is a positive integer and x2 16}
       A4 = {7, 8}

      Compute:

1.            A1  U  A2

2.            A1  U  A2  U  A3  

3.            A1     A2  ∩  A3  

4.            A1   (A2  U  A3)  


5.            (A1 U A2)’  

6.         A U  (A2     A3)  

7.         A' A

8.           A2  ∩  A3  

9.           A­­4 (A2  U  A3)'

10.        (A­­4 U A1)    (A2  U  A3)  




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