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Sets contain elements. The intersection of sets (represented by an upside-down 'U') is the list of elements that are common in both sets. The union of sets (represented by 'U') is the list of all the elements in the relevant sets.
E.g. If A={a,b,c,d,e,f} and B={a,e,i,o,u}:
The intersection of A and B is {a,e}.
The union of A and B is {a,b,c,d,e,f,i,o,u} (notice how repeating elements, e.g. 'a' and 'e', are only listed once even though they occur in both sets.)
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Difference between Union and Set Intersection Operation?
union means to group the given sets. where as intersection means to pick out the common elements from the given sets. if set a has 1,2,3 elements and B has 1,2,3,4,5. then its union will have 1,2,3,4,5 as its elements. and its intersection will have 1,2,3 as its elements.
How do you use venn diagram to represent the union and intersection sets?
For two sets, the Venn diagram will consist of two overlapping ovals. The area of the overlap is the intersection. The entire area of both ovals is the union.
Do sets always have an intersection that is not the empty set?
No, they do not.
What are the closure properties of regular sets?
;: Th. Closed under union, concatenation, and Kleene closure. ;: Th. Closed under complementation: If L is regular, then is regular. ;: Th. Intersection: .
Explain union and intersection of sets?
The union of two or more sets is a set containing all of the members in those sets. For example, the union of sets with members 1, 2, 3, and a set with members 3, 4, 5 is the set with members 1, 2, 3, 4, 5. So we can write:Let A = {1. 2. 3} and B = {3, 4, 5}, thenA∪B = {1, 2, 3, 4, 5}The intersection of two or more sets is the set containing only the members contained in every set. For example, the intersection of a set with members 1, 2, 3, and a set with members 3, 4, 5 is the set with only member 3. So we can write:Let A = {1. 2. 3} and B = {3, 4, 5}, thenA ∩ B = {3}
