This document discusses sets and set theory. It defines what a set is, provides examples of different types of sets, and explains key concepts like subsets, universal sets, the empty set, finite and infinite sets, cardinality of sets, and the relationships between sets including union, intersection, difference, and complement. It illustrates how to represent sets using listing, description, and rule methods, and how to solve problems involving Venn diagrams and set operations.

1. MATHEMATICS 7
SIR GILBERT

2.  illustrates well-defined sets,
subsets, universal sets, null set,
cardinality of sets, union and
intersection of sets and the
difference of two sets
 Solve problems involving Venn
diagram

3. Is a group or collection of
distinct objects. An organized
collection of objects with
common characteristics is
called a set.

4. Note that when elements of
a set are enumerated, they
are enclosed in BRACES

5.  Listing or roster method
 Description method
 Rule or property defining method/
set builder notation

6. A= { a, e, i , o, u}
A= { vowels in English alphabet}
A= { x|x is the set of vowels in
English alphabet}

7. If any given object, we can say if it
belongs to a given set or not.

8. WELL-DEFFINED
SET

9. 1. The members of your family
2. The math teachers in KIS
3. The set of all factors of 20
4. The set of all intelligent in
your class
5. The set of beautiful girls in
KIS

10. A set without any element,
it is written by Ø or { }.

12. Finite sets
and
Infinite sets

13. A= { 1, 2, 3,4, …}

14. To avoid wide range of
possible answers, it is
necessary to identify the whole
set under consideration. That
set is called the UNIVERSAL
SET.

15. The set of counting
numbers from 1 up
to 100.

16. RELATIONSHIPS
BETWEEN SETS

17. Set A is equal to set B
if every element of A is
an element of Set B
and every element of
set B is an element of
A.

18. Equal Sets
A= {a, b, c, d} B= {a, b, c, d}
Equivalent Sets
A= {a, b, c, d} B= {e, f, g, h}

19. A set D is a subset of E if every
element of D is in E. if E has at
least one element not in D,
then D is a proper subset of E.
Every set is an improper subset
of itself. The empty set is a
subset of any set.

20. Subsets of set A:
{ },{5}, {8}, {9}, {5,8}, {5,9},
{8,9}
{5, 8, 9}

22. The intersection of two sets A and B,
denoted by A ⋂ B, is the set of all
elements that belong to both A and B.
The union of two sets A and B,
denoted by A ⋃ B, is the set of all
elements that belong to A or B or
both.

23. The complement of set A is the
set of all elements that belong to
the universal set (universe U) but
do not belong to A. it is denoted
by A’.

24.  The cardinality of set is the number of
elements contained in a set.
 The difference of two sets, written as A – B, is
the set of all elements of A that are not
elements of B.

25. A={1, 2,3, 4,5}
B= {2, 4, 5}
A-B={1, 3}

27. A= {1, 2, 3, 4}
B= {,2, 3, 8}
C= {5, 6, 7, 8}
A ⋃ (B ⋂ C) =
{1,2,3,4} ⋃ {8} = {1,2,3,4,8}

28. You may now proceed on our
Google Classroom , just simply
VIEW, EDIT, and TURNED IN your
leaning tasks for Week 1.

29. THANK YOU!