Question

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.
Answer

2 people didn't like cake or cookies

Answer 1

8 people liked cake

18 people were surveyed

People liked cookies more than cake

Answer 2

(shouldn't that be "Favorite Sweets" plural to allow those 10 lucky folk to favorite both cookies and cakes?)

Answer 3

20 people were surveyed

Answer 4

more people faved cake than cookies

Answer 5

15 people love cake

Answer 6

how many people faved neither cake nor cookies?

Answer 7

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\["A or B" A \cup B = A + B - A and B\]