2. - A Set is any groupings or collection of objects
may be referred to as a set.
What is a set?
Elements Elements
1. Things or objects that belong to a set are
called the elements of a set.
Example:
{ 1,2,3,4,5…} { A,B,C,D }
3. - A Set with no elements are called an empty set.
Example:
- The set of all factors of 0.
{ }
EMPTY SET
Empty set
- The number of the elements in a set refers to the cardinality
of the set.
Example:
{ Red, Yellow, Blue } { 1,2,3,4,5 }
= 3 = 5
4. 1. Roster Notation or Listing Method – Describes a set
by listing each element of the set inside the symbol
The three ways of Describing a set
Example:
{ Saturday , Sunday }
Example:
- Set A is the set of months in a year that starts with the
letter J.
- The set of counting numbers less than 8.
2. Verbal description Method – It described sets in words.
5. - Describes sets with a rule.
Example:
xIx Is an odd number.
Set builder Notation
- Simply just write it with xIx Read as “X such as X”
6. Changing Verbal to Roster/listing method.
More examples with all ways.
J = Set of primary colors
Roster Notation : { Red, Yellow, Blue }
A = Set of subjects that you have in school.
Roster Notation: { Math, Sci , Eng, MAPEH, Tle, Ap,
Filipino, Homeroom, Cle, }
7. 2. Changing Roster to Verbal.
.
More examples with all ways.
Example: { 1,2,3,4,5,6,7 }
verbal Method: The set of counting numbers less than 8
Verbal Method: The set of Negative Numbers less than -5
{ -6, -7, -8, -9, -10…}
8. 3. Changing Builder Notation to Roster Notation
Method.
More examples in all ways.
So On…
Example : { xIx Is a month that starts with the letter J }
Roster Notation: { January, June, July }
Example: { xIx is an odd number }
Roster Notation: { 1,3,5,7,9,11,13,15,… }
9. Two sets that contain exactly the same number of
elements are called Equivalent sets
Equal and Equivalent Sets
Could you identify the Equivalent?
Two sets that contains exactly the same elements are called
Equal sets.
B = { M, a, t, h } , A = { R, e, a, d }
C = { T, e, n } , D = { N, e , t }
Equivalent
Equal
