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Let the Universal set be {0,1,2,3,...}. Let A = {6, 10} and B = {4}. Find (A ⋂ B')

Question

Let the Universal set be {0,1,2,3,...}.

Let A = {6, 10} and B = {4}.

Find (A ⋂ B')

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Solution

To solve this problem, we first need to understand what each symbol means.

  1. "⋂" is the symbol for intersection, which means the common elements in sets A and B.
  2. "B'" is the symbol for the complement of set B, which includes all the elements in the universal set that are not in B.

Given that the universal set is {0,1,2,3,...}, set A = {6, 10}, and set B = {4}, we can find B' first.

B' would be all the numbers in the universal set except for 4. Since the universal set is all non-negative integers, B' would be {0,1,2,3,5,6,...} (excluding 4).

Now, we find the intersection of A and B', which are the common elements in both sets.

Looking at the elements of A = {6, 10} and B' = {0,1,2,3,5,6,...}, we can see that the common element is 6.

So, A ⋂ B' = {6}.

This problem has been solved

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