SOLUTION: Given these sets: A = {3, 4, 5, 6, 7}, B = {6, 7, 8, 9}, C = {2, 4, 6, 8} List the element of this set A U (B ∩ C)....please show how you came to your solution

Algebra ->  Subset -> SOLUTION: Given these sets: A = {3, 4, 5, 6, 7}, B = {6, 7, 8, 9}, C = {2, 4, 6, 8} List the element of this set A U (B ∩ C)....please show how you came to your solution      Log On


   



Question 476536: Given these sets: A = {3, 4, 5, 6, 7}, B = {6, 7, 8, 9}, C = {2, 4, 6, 8} List the element of this set A U (B ∩ C)....please show how you came to your solution
Found 2 solutions by richard1234, mananth:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
B ∩ C is simply the set of elements in both B and C, i.e. {6,8}. Then A U {6,8} is the set of elements in either or both sets, namely {3,4,5,6,7,8}

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
A = {3, 4, 5, 6, 7}, B = {6, 7, 8, 9}, C = {2, 4, 6, 8} List the element of this set A U (B ∩ C)

B = {6, 7, 8, 9}
C= {2,4,6,8}
Intersection ∩ means the elements which are in both the sets
(B ∩ C)={ 6,8}
Let this be named D
D= {6,8}
A = {3, 4, 5, 6, 7}
A U (B ∩ C) U means union
all elements which are in A & D without repetition is the union
D=(B ∩ C)
A U (B ∩ C)=AUD = {3,4,5,6,7,8}
m.ananth@hotmail.ca