Question 191858: A friend sent me to this web site for help. My question is in my college algebra II class. My mind went blank when I saw this question. Please help. Here goes: Given A={1,2,3,4}, B={3,4,5,6), and C={4,6,7}. Evaluate each set a) AnB,
b)AnC, c) A U C), d.) B U C, e) (AUB)nC, f) AU(BnC), g) (AnB)nC, h) (AnB)UC.
How doe this work. Please show me how this is done. Thank you. (I think she said the "n" was an inverted U.)
Answer by user_dude2008(1862)   (Show Source):
You can put this solution on YOUR website! a) A n B = set of elements that are in BOTH A and B = {3, 4}
b) A n C = set of elements that are in BOTH A and C = {4}
c) A U C = new set from combined sets A and C = {1, 2, 3, 4, 6, 7}
d) B U C = new set from combined sets B and C = {3, 4, 5, 6, 7}
e) A U B = new set from combined sets A and B = {1, 2, 3, 4, 5, 6}
(A U B) n C = set of elements that are in BOTH (A U B) and C = {4, 6}
f) B n C = set of elements that are in BOTH B and C = {4, 6}
A U (B n C) = combine sets A and (B n C) = {1, 2, 3, 4, 6}
g) (A n B) n C = set of elements that are in BOTH (A n B) and C = {4}
h) (A n B) U C = combine sets (A n B) and C = {3, 4, 6, 7}
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