If 3 , 6,nA x x n n N= = 9 , 4,nB x x n n N= = then findA B,A B andA B−
Question
If $
{ 3, 6, n } A = { x \ | \ x = n \ , \ n \in \mathbb{N} } \leq \ n \in { 9, 4, n } B = { x \ | \ x = n \ , \ n \in \mathbb{N} } \leq \ \text{ then find } A \cap B, A \cup B \text{ and } A - B$
Solution
The given sets are:
A = {x | x = 3n, n ≤ N} and B = {x | x = 9n, n ≤ N}
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A ∩ B: The intersection of A and B. This set contains all elements that are common to both A and B. Since B is a subset of A (every element in B is also in A), A ∩ B = B.
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A ∪ B: The union of A and B. This set contains all elements that are in A, or in B, or in both. Since all elements of B are also in A, A ∪ B = A.
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A - B: The difference of A and B
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