Question 1156622: Two friends went to get ice cream sundaes. They each chose a flavor of ice cream from a list of vanilla and chocolate and toppings from a list of hot fudge, strawberries, sprinkles, peanuts, and whipped cream. Use the sets below describing their choices and find C'.
Let A = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}
Let B = {vanilla, hot fudge, sprinkles, whipped cream}
Let C = {chocolate, hot fudge, peanuts, whipped cream}
___________________________________________________________________________The options are:
A) {vanilla, strawberries, sprinkles}
B) {chocolate, hot fudge, peanuts, whipped cream}
C) {vanilla, hot fudge, sprinkles, whipped cream}
D) {chocolate, strawberries, sprinkles}
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
Answer:Choice A
{vanilla, strawberries, sprinkles}
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Explanation:
The universal set is
U = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}
which represents all of the possible choices for flavors and toppings
Set C is given to be
C = {chocolate, hot fudge, peanuts, whipped cream}
The set C' is the complement of set C. It is the complete opposite of set C. Whatever is in C will not be in C', and vice versa.
What I would do is start with the universal set
U = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}
then cross out everything you find in set C. So we'll cross off chocolate, hot fudge, peanuts, whipped cream
{vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}
What we're left with is
{vanilla, strawberries, sprinkles}
which is the set C'
Effectively you can think of it as two friends such that their choices are polar opposites of one another. Friend #1 picks a dish that is chocolate covered in hot fudge, peanuts and whipped cream. This is represented by set C. On the other side of the spectrum, friend #2 goes with vanilla ice cream with strawberries and sprinkles as toppings. This is represented by set C'.
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