Question 451236: I am having some problems understanding this .. this is all new could i get someone to help....thank you
Given A = {1, 2, 3, 4}, B = {4, 5, 6,}, and C = {2, 6, 7}. Evaluate each set
a) A ∩ B
b) A U C
c) B U C
d) (A U B) ∩ C
e) A U (B U C)
f) (A ∩ B) ∩ C
g) (A ∩ B) U C
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! I'll do the first three to get you started
a)
To form the intersection of the two sets A={1,2,3,4} and B={4,5,6}, simply write down all of the elements that are in BOTH sets at the same time.
So let's place the first set right above the second set (for an easy visual comparison):
{1,2,3,4}
{4,5,6}
Now highlight the elements that are in BOTH sets:
{1,2,3,4}
{4,5,6}
Since the highlighted terms are 4, this means that the intersection of the two sets is {4}
So if  and  , then the intersection of the two sets is: 
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b)
To form the union of the two sets A={1,2,3,4} and C={2,6,7}, simply make a new set that contains EVERY element in both sets like so {1,2,3,4,2,6,7}. Take note how the red elements are from the first set while the green elements are from the second set.
Now remove any duplicate elements to get the set {1,2,3,4,6,7}
So if and  , then the union of the two sets is: 
=========================================================================
c)
To form the union of the two sets B={4,5,6} and C={2,6,7}, simply make a new set that contains EVERY element in both sets like so {4,5,6,2,6,7}. Take note how the red elements are from the first set while the green elements are from the second set.
Now remove any duplicate elements to get the set {4,5,6,2,7}. Now if you want, you can sort the elements from least to greatest to get {2,4,5,6,7}
So if and , then the union of the two sets is: 
For more help with set union and intersection, check out this solver
Answer by MathLover1(20850)  (Show Source):
You can put this solution on YOUR website!
Given A = {1, 2, 3, 4}, B = {4, 5, 6,}, and C = {2, 6, 7}.
Evaluate each set
a) A ∩ B.....everything what is same element in  and in  :
A ∩ B={4}
b) A U C.....A U C={1,2,3,4,5,6}
c) B U C={2,4,5,6,7}
d) (A U B) ∩ C={1, 2, 3, 4,5, 6}∩{2, 6, 7}={2,6}
e) A U (B U C)={1, 2, 3, 4}U {2,4, 5, 6,7}={1, 2, 3, 4, 5, 6,7}
f) (A ∩ B) ∩ C={4} ∩{2, 6, 7}={ }
g) (A ∩ B) U C={4}U {2, 6, 7}={2,4, 6, 7}
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