SOLUTION: Please help me. This is a different question than previously posted. Thank you so much for your time and energy in answering this question for me. If the universal set U is defi

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Question 636381: Please help me. This is a different question than previously posted. Thank you so much for your time and energy in answering this question for me.
If the universal set U is defined by U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and
A = {1, 2, 3, 4 }
B = {3, 4, 5, 6, 7}
What is n(A ∩ B) ?
Found 2 solutions by jim_thompson5910, solver91311:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
A ∩ B = {3,4} since the elements '3' and '4' are in both sets A and B.

So n(A ∩ B) = 2 since there are 2 items in set A ∩ B
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The intersection of A and B, that is A ∩ B is the set of elements that are in both A and B. In this case this set has two elements. The complement of A ∩ B, to whit , which is what I think you meant by the rather unorthodox notation n(A ∩ B), are all of the elements of set U excluding those in A ∩ B. So go through set U, cross out the two elements that are in A ∩ B, and the remainder will be the set .

John

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