(a) If A = {multiples of 2}, B = {multiples of 3} and C =
(a) If A = {multiples of 2}, B = {multiples of 3} and C = {factors of 6} are subsets of \(\mu\) = {x:1 \(\leq\) x \(\leq\) 10} find A ′ \(\cap\) B ′ \(\cap\) C′
(b) Tickets for a movie premiere cost $18.50 each while the bulk purchase price for 5 tickets is $80.00. If 4 gentlemen decide to get a fifth person to join them so that they can share the bulk purchase price equally, how much would each person save?
Explanation
\(\mu\) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {2, 4, 6, 8, 10}
B = {3,6,9}
C = {1, 2, 3, 6}
A` ={1, 3, 5, 7, 9}
B` = {1, 2, 4, 5, 7, 8, 10}
C` = {4, 5, 7, 8, 9, 10}
a` \(\cap\) B` C` = { 5 and 7 }
(b) bulk cost $80
1 will cost \(\frac{$80}{5}\) = $16
for 5 gentlemen each cost $18.50
total cost = 18.50 x 5
= $92.50
5 cost for $16 each = 5 x $16
= $(92.50 - 80.00)
each will save \(\frac{$12.50}{5}\)
= $2.50