IEO Level 2- English Olympiad (SOF) Class 9 Coaching Programs
β³ π― Online Tests (2 Tests [50 Questions Each]): NTA Pattern, Analytics & Explanations
Click Here to View & Get Complete Material
Rs. 200.00
3 Year Validity (Multiple Devices)
π Study Material (303 Notes): 2024-2025 Syllabus
Click Here to View & Get Complete Material
Rs. 450.00
3 Year Validity (Multiple Devices)
π― 250 MCQs (& PYQs) with Full Explanations (2024-2025 Exam)
Click Here to View & Get Complete Material
Rs. 200.00
3 Year Validity (Multiple Devices)
Mathematics: Relations Functions Sets: Venn Diagram, Different of Sets and Complement of a Set
Venn Diagram
- British mathematician John Venn introduced the concept of diagrams to represent sets. According to him universal set is represented by the interior of a rectangle and other sets are represented by interior of circles.
- Diagrammatical representation of sets is known as a Venn diagram.
Example:
If and then these sets can be represented as the Venn diagram.
Solution:
Difference of Sets
Consider the sets
And
A new set having those elements which are in but not in is said to be the difference of sets and and it is denoted by
Similarly, a set of those elements which are in but not in is said to be the difference of and and it is devoted by
In general, if and are two sets then
and
Difference of two sets can be represented using Venn diagram as:
Complement of a Set
Let denote the universal set and its subsets where
is any member of a family
is a male member of the family
is a female member of the family
- is a set having female members of the family.
- is a set having male members of the family.
- is said to be the complement of and is usally denoted by or .
- is said to be complement of and denoted by or .
Example:
Let be the universal set and its subset where
Find (i) (ii) Represent in Venn diagram.
Solution:
It is given
and
Note:
- Difference of two sets can be found even if none is a subset of the other but complement of a set can be found only when the set is a subset of some universal set.