Class 11 Exam > Class 11 Questions > If A' intersection B' = (A union B) ', then w...
Start Learning for Free
If A' intersection B' = (A union B) ', then why their Venn diagrams are not same?
Most Upvoted Answer
If A' intersection B' = (A union B) ', then why their Venn diagrams ar...
Explanation of the Venn Diagrams of A' intersection B' and (A union B) ':
Definition of A' intersection B' and (A union B) ':
- A' intersection B' represents the set of elements that are not in A and not in B.
- (A union B) ' represents the complement of the set of elements that are in A or in B.
Reasons for different Venn diagrams:
1. Representation of A' intersection B':
- In the Venn diagram for A' intersection B', we shade the regions outside of both A and B.
- This includes the region that is not in A as well as the region that is not in B.
2. Representation of (A union B) ':
- In the Venn diagram for (A union B) ', we shade the complement of the region that is in either A or B.
- This includes the region that is neither in A nor in B, which is different from the representation of A' intersection B'.
Visual Comparison:
- The Venn diagram for A' intersection B' will show the regions outside of A and B only, while the Venn diagram for (A union B) ' will show the complement of the regions in A or B.
- This visual difference in representation leads to distinct Venn diagrams for A' intersection B' and (A union B) '.
In conclusion, although A' intersection B' equals (A union B) ', their Venn diagrams are not the same due to the different ways they represent the sets of elements that are not in A or B.
Definition of A' intersection B' and (A union B) ':
- A' intersection B' represents the set of elements that are not in A and not in B.
- (A union B) ' represents the complement of the set of elements that are in A or in B.
Reasons for different Venn diagrams:
1. Representation of A' intersection B':
- In the Venn diagram for A' intersection B', we shade the regions outside of both A and B.
- This includes the region that is not in A as well as the region that is not in B.
2. Representation of (A union B) ':
- In the Venn diagram for (A union B) ', we shade the complement of the region that is in either A or B.
- This includes the region that is neither in A nor in B, which is different from the representation of A' intersection B'.
Visual Comparison:
- The Venn diagram for A' intersection B' will show the regions outside of A and B only, while the Venn diagram for (A union B) ' will show the complement of the regions in A or B.
- This visual difference in representation leads to distinct Venn diagrams for A' intersection B' and (A union B) '.
In conclusion, although A' intersection B' equals (A union B) ', their Venn diagrams are not the same due to the different ways they represent the sets of elements that are not in A or B.
Community Answer
If A' intersection B' = (A union B) ', then why their Venn diagrams ar...
Yeah..yeah..i saw but i dont know the reason..
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
If A' intersection B' = (A union B) ', then why their Venn diagrams are not same?
Question Description
If A' intersection B' = (A union B) ', then why their Venn diagrams are not same? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If A' intersection B' = (A union B) ', then why their Venn diagrams are not same? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A' intersection B' = (A union B) ', then why their Venn diagrams are not same?.
If A' intersection B' = (A union B) ', then why their Venn diagrams are not same? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If A' intersection B' = (A union B) ', then why their Venn diagrams are not same? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If A' intersection B' = (A union B) ', then why their Venn diagrams are not same?.
Solutions for If A' intersection B' = (A union B) ', then why their Venn diagrams are not same? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of If A' intersection B' = (A union B) ', then why their Venn diagrams are not same? defined & explained in the simplest way possible. Besides giving the explanation of
If A' intersection B' = (A union B) ', then why their Venn diagrams are not same?, a detailed solution for If A' intersection B' = (A union B) ', then why their Venn diagrams are not same? has been provided alongside types of If A' intersection B' = (A union B) ', then why their Venn diagrams are not same? theory, EduRev gives you an
ample number of questions to practice If A' intersection B' = (A union B) ', then why their Venn diagrams are not same? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup