Education

1. sets

3. MELC
• Illustrates the union and
intersection of sets and the
difference of two sets.
•Illustrates and describes
the union of two sets.
•Illustrates the difference of
two sets
•Illustrate the complement of
a set.

4. Describe well-defined sets, null
set, cardinality of sets, union
and intersection of sets, and
difference of two sets
Find the union, intersection
and complement of sets
Appreciate the
importance of sets

5. What is a set?
1. Set is a well-defined collection of
distinct objects or ideas, called
elements, that are defined by
common characteristics or
attributes.

6. What is a SUBset?
The set F is a subset of set A if all
elements of F are also elements of A.
For example, the even numbers 2, 4
and 12 all belong to the set of whole
numbers. Therefore, the even
numbers 2, 4, and 12 form a subset
of the set of whole numbers. F is a
proper subset of A if F does not
contain all elements of A.

7. What is a universal set?
. The universal set U is the set
that contains all objects under
consideration. The set of all
letters in the alphabet could be a
universal set from which the set
{a,b,c,d,…..z} could be taken.

8. What is a venn
diagram?
is a diagram that uses circles to
represent sets. The relation
between the sets is indicated by
the arrangement of circles. The
Venn diagram is a way of
representing sets visually and is
named after its inventor, British
mathematician John Venn (1834
– 1923).

9. SET
OPERATIONS

10. Set operations
*In set theory, the
union (denoted by
∪) of a collection of
sets is the set of
all distinct elements
in the collection.
Union of sets
*Given two sets A and B, the
union is the set that contains
elements or objects that belong
to either A or to B or to both
We write A U B

11. Set operations
Basically, we find A U B by putting all the elements of
A and B together.
Union of sets

12. Set operations
The intersection of
two sets A and B is
the set of elements
common to both A
and B
Intersection of sets
The symbol is an upside down "U"
like this: ∩
We write A ∩ B

13. Set operations
The number of elements in a set
Cardinality of sets
1. Let A be a set. If A = (the empty set),
then the cardinality of A is 0. b.
2. If A has exactly n elements, n a natural
number, then the cardinality of A is n. The
set A is a finite set.
3. Otherwise, A is an infinite set.