1. Definition of sets
The sets is a collection of object that are clearly
members.
Example
•
A = { odd
number less than 12 }, then set A can be writte :
•
A = { X |
X < 12,X odd number }, or
•
A = {
1,3,5,7,9,11 }
2. Notation
There is a fairly simple notation for sets. We simply
list each element (or “member”) separated by a comma, and then put some curly
brackets around the whole thing.
Example : {2,6,10,…}
The curly brackets {} are sometimes
called “ set brackets”or “braces”
The three dots … are called an
allipsis,and mean “continue on”.
3. Intersection of sets
Intersection of sets A and B are sets whose members A
and B.
Ø Set notation will be
A ∩ B = {X |
X A and X B }
Ø Example
It’s
known that A has 1,2,3 members and set B has 3,4,5 members. Determine the
intersection of that !
Ø If depicted in the venn diagram will be
4. Union of sets
Union of sets A and B are sets whose members are a
combination of set members A and B.
· SET NOTATION
A B = {X | X A or X B }
· EXAMPLE
It’s
known that A has 2,3,4 members and set B has 5,6,7 members. Determine the union
of sets!
· IN THE VENN DIAGRAM
5. Complement of sets
Complement of A is a sets whose members are not
members of A.
§ SET NOTATION
A’
= X | Є A
Can
be symbolized
A’ or .
§ EXAMPLE
Known
S = { 1,2,3,4,5,6,} and A = {1,2,3} determine A complement !
§ IN THE VENN DIAGRAM
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