Question 1156622
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Answer:<font color=red>Choice A</font>
<font color=red>{vanilla, strawberries, sprinkles}</font>

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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, <s>chocolate</s>, <s>hot fudge</s>, strawberries, sprinkles, <s>peanuts</s>, <s>whipped cream</s>}


What we're left with is
<font color=red>{vanilla, strawberries, sprinkles}</font>
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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