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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,nA x x n n N= =   9 , 4,nB x x n n N= =   then findA B,A B andA B−

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Solution

The given sets are:

A = {x | x = 3n, n ≤ N} and B = {x | x = 9n, n ≤ N}

  1. 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.

  2. 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.

  3. A - B: The difference of A and B

This problem has been solved

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