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')
Solution
To solve this problem, we first need to understand what each symbol means.
- "⋂" is the symbol for intersection, which means the common elements in sets A and B.
- "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}.
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