This will help you in illustrating operations on sets using Venn Diagram. Also, how to find the intersection, union, complement and difference of two sets. For more instructional resources, CLICK me here!  https://tinyurl.com/y9muob6q LIKE and FOLLOW me here!  https://tinyurl.com/ycjp8r7u https://tinyurl.com/ybo27k2u

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}
{ }