The document outlines the concepts of union, intersection, difference, and complement of sets in mathematics for grade 7. It provides definitions, examples, and Venn diagrams to illustrate set operations. Key operations discussed include the intersection (a ⋂ b), union (a ⋃ b), and the complement of a set (a').

1. Grade 7 – Mathematics
Quarter I
OPERATIONS ON SETS

2. •define and describe the union and
intersection of sets;
•illustrate difference of two sets and
complement of a set; and
•use Venn Diagram to represent set
operations.

3. The intersection of sets A and B, written
A ⋂ B, is the set containing the elements
that are in both A and B.
Example:
A = {1,3,5,7,9}
B = {2,3,5,7,11}
A ⋂ B = {3,5,7}
Venn Diagram
A B
3
5
7
1
9
2
11
common elements

4. Example:
A = {1,3,5,7,9}
B = {2,3,5,7,11}
A ⋂ B = {3,5,7}
A B
3
5
7
1
9
2
11
Joint Sets
A = {1,3,5,7,9}
B = {2,4,6,8,10}
A ⋂ B = { }
A B
1 3 5
7 9
2 4 6
8 10
Disjoint Sets

5. The union of sets A and B, written A ⋃ B, is
the set of all the elements that are in A,
or in B, or in both A and B.
Example:
A = {1,3,5,7}
B = {1,2,3,4}
A ⋃ B = {1,2,3,4,5,7}
Venn Diagram
combining the elements
A B
1
35
7
2
4

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

7. The complement of a set A, written A’, is
the set of elements in the universal set
that are not in A.
Example: U = {1,2,3,4,5}
A = {2,4} C = {1,2,3,4,5}
B = {2,3,4} D = { }
A’ = {1,3,5}
B’ = {1,5}
C’ = { }
D’ = {1,2,3,4,5}
A’ =
B’ =
C’ =
D’ =

8. Example: U = {1,2,3,4,5}
A = {2,4} C = {1,2,3,4,5}
B = {2,3,4} D = { }
A’ = {1,3,5} B’ = {1,5}
2 4
U 1
3
5
A 2 3
4
U
1
5
B

9. Example: U = {1,2,3,4,5}
A = {2,4} C = {1,2,3,4,5}
B = {2,3,4} D = { }
C’ = { } D’ = {1,2,3,4,5}
U
1
2
3
4
5
D1 2 3
4 5
U C

10. Example:
A = {1,2,4,5} C = {1,3,5}
B = {2,3,5} D = { 2,4,5}
1. A - B =
2. B - A =
3. A - C =
4. C - D =
5. D - A =
{1,4}
{3}
{2,4}
{1,3}
{ }