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If A' intersection B' = (A union B) ', then why their Venn diagrams are not same?
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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..
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If A' intersection B' = (A union B) ', then why their Venn diagrams are not same?
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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?.
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