Let s={123456}
A={2,4,6}
B={3,4,5}
C={1,6}
Find AuC
AnB
A'
A' n B
B n C'
AuBuC
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Answer:
S = { 1,2,3,4,5,6 }
A = { 2,4,6 }
B = {3,4,5}
C = {1,6}
i) AUB = {2,4,6} U { 3,4,5 } = { 2,3,4,5,6 }
ii
ii ) A n B = { 2,4,6 } n { 3,4,5 } = { 4 }
iii ) A' = S - A
= { 1,2,3,4,5,6 } - { 2,4,6 } = { 1,3,5 }
iv ) A' n B = { 1,3,5 } n { 3,4,5 } = { 3,5 }
v ) B n C' = B n ( S - C )
= B n ( { 1,2,3,4,5,6 } - { 1,6 } )
= { 3,4,5 } n { 2,3,4,5 }
= { 3,4 ,5 } = B
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