Venn Diagram WEEK I After going through this module, you are expected to: 1. Solve problems involving sets with the use of Venn Diagram. Learning Task 1 A B List down inside the diagram what is asked in each set: A is the set of factors of 12 B is the set of prime numbers less than 15 C is the set of even numbers less than 15 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). Illustrative Example 1. Use Venn diagram to represent the following sets. Set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Set A - (2, 4, 6, 8, 10) Set B = {5, 6, 7, 8, 9) Answer The two sets have common elements, 6 and 8, therefore we need to write these elements in the intersection of the two circles. Then write the other elements of each set in the other part 10 of the circle. The elements of U that are not in A or B must be placed outside the two circles. A
Venn Diagram WEEK I After going through this module, you are expected to: 1. Solve problems involving sets with the use of Venn Diagram. Learning Task 1 A B List down inside the diagram what is asked in each set: A is the set of factors of 12 B is the set of prime numbers less than 15 C is the set of even numbers less than 15 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). Illustrative Example 1. Use Venn diagram to represent the following sets. Set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Set A - (2, 4, 6, 8, 10) Set B = {5, 6, 7, 8, 9) Answer The two sets have common elements, 6 and 8, therefore we need to write these elements in the intersection of the two circles. Then write the other elements of each set in the other part 10 of the circle. The elements of U that are not in A or B must be placed outside the two circles. A
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Venn Diagram
WEEK
I
After going through this module, you are expected to:
1. Solve problems involving sets with the use of Venn Diagram.
Learning Task 1
U
A
B
List down inside the diagram what is
asked in each set:
A is the set of factors of 12
B is the set of prime numbers less than 15
C is the set of even numbers less than 15
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).
Illustrative Example 1.
Use Venn diagram to represent the following sets.
Set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Set A = {2, 4, 6, 8, 10}
Set B = (5, 6, 7, 8, 9}
Answer
The two sets have common elements,
6 and 8, therefore we need to write
these elements in the intersection of
the two circles. Then write the other
elements of each set in the other part
of the circle. The elements of U that
are not in A or B must be placed
10
A
B.
outside the two circles.
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