if a ={3,4,5,6,7,8} and b={2,4,6,8,10,12} find the following sets
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Answer:
sorry I don't know the answer for this
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Explanation:
a ={3,4,5,6,7,8}
n(A) = 6
b={2,4,6,8,10,12}
n(B) = 6
AUB = {3,4,5,6,7,8}U{2,4,6,8,10,12}
= { 2,3,4,5,6,7,8,10,12}
n(AUB) = 9
AnB = {3,4,5,6,7,8}n{2,4,6,8,10,12}
= { 4,6,8}
n(AnB) = 3
n(AUB) = n(A) + n(B) - n(AnB)
9 = 6+6-3
9 = 9
hence verified
B/A = B-A ={2,4,6,8,10,12} / {3,4,5,6,7,8}
= { 2,12,10}
n(B/A) = 3 = n(B) only
A/B = A - B = {3,4,5,6,7,8} - {2,4,6,8,10,12}
= { 3,5,7}
n(A/B) = 3 = n(B) only
n(AUB) = n(A) only + n(B) only + n(AnB)
9 = 3+3+3
9=9
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