If A and B are two non empty sets then A∪B=B∩A iff
Answers
Answer:
A∪B=B∩A this does not be true
Step-by-step explanation:
If
A= 1,2,3,4,5
B=4,5,6,7,8
then
A∪B=1,2,3,4,5,6,7,8
B∩A=4,5
thus, this does not hold true
Answer:
AUB = A ∩ B if A = B
Explanation:
A and B are two non empty sets.
A = B then A∩B = A = B
AUB = A = B
AUB = A∩B = A = B
If A⊂B
Then AUB = B
A ∩ B = A
Hence AUB ≠ A ∩ B
AUB = A ∩ B if A = B
If B ⊂ A
Then AUB = A
A ∩ B = B
Hence, AUB = A ∩ B if A = B
Intersection of Sets :
The group of elements that both of the given sets have in common is known as an intersection of sets. According to set theory, the intersection of any two sets, A and B, is the collection of all the elements in set A which are also present in set B. We use the symbol "∩" which stands for "intersection of." Venn diagrams make it easy to understand when sets intersect. Every set is represented by a circle in the venn diagram. The circles that overlap indicate that there is a connection between two or more sets then they share components. The circles that don't overlap also don't have anything in common.
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