Choose the correct statement using the Venn diagram below.
A Venn diagram with two overlapping circles and with the title "Favorite Sweet" is shown. The circle on the left is labeled "Cake" and has the number 5 written inside it, in the region that does not overlap with the other circle. The circle on the right is labeled "Cookies", and has the number 3 written inside it, in the region that does not overlap with the other circle. The number 10 is written in the region in which the circles overlap and the number 2 appears outside of both circles.
2 people didn't like cake or cookies
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8 people liked cake
18 people were surveyed
People liked cookies more than cake
(shouldn't that be "Favorite Sweets" plural to allow those 10 lucky folk to favorite both cookies and cakes?)
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more people faved cake than cookies
15 people love cake
how many people faved neither cake nor cookies?
The overlap means both, so those 10 count once for cake and those 10 also count once for cookies.
What happens when you take the total you cannot say 5+10 likes cake and 3+10 liked cookies thus all the people that liked either cake or cookies is 27 because you will have counted those 10 twice!
so you subtract the overlapping part once
A\["A or B" A \cup B = A + B - A and B\]
I say 20 peole were surveyed|dw:1327256459948:dw| They don't count twice in the middle just because they like both, because they fall into a category, just like the other ones.