Question 332153: Given these sets:
A = {1, 2, 3, 4}
B = {3, 4, 5, 6, 7}
C = {3, 5, 7, 9}
List the elements of this set
B ∩ (AUC)
Do not skip to the answer. Show your work, step by step
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website! Given these sets:
A = {1, 2, 3, 4}
B = {3, 4, 5, 6, 7}
C = {3, 5, 7, 9}
List the elements of this set
B ∩ (A U C)
Do not skip to the answer. Show your work, step by step
---------------------------------------
B ∩ (A U C)
Substitute the sets for the letters:
{3, 4, 5, 6, 7} ∩ ({1, 2, 3, 4} U {3, 5, 7, 9}}
We do the parentheses first:
{1, 2, 3, 4} U {3, 5, 7, 9} means to list every element
that is in one of the two sets ONCE only, which is {1, 2, 3, 4, 5, 7, 9}
So replace the parenthetical part, so we have:
{3, 4, 5, 6, 7} ∩ {1, 2, 3, 4, 5, 7, 9}
That means to list only those elements that are in common
to the two sets:
{3, 4, 5, 7}
That's the final answer.
Edwin
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