Question

At an auto show, a car dealer asked the first 10 visitors their ages and the kinds of cars they own. The Venn diagram shows the details.




Based on the diagram, which of the following represents the ages of car owners in the set
(A ∩ B) ∪ (~A ∩ C) ?

Answer 1

ughh i hated these but im sure i can figure it out gimme a sec

Answer 2

do it step by step
first find \(A\cap B\)

Answer 3

looks like the only thing in \(A\cap B\) is \(\{29\}\)

Answer 4

yeah, 29

Answer 5

then find \(\lnot A \cap C\)

Answer 6

(27, 48, 56, 33) ?

Answer 7

i think you have a typo there, but yes
should be 28 though, right?

Answer 8

and also 47 rather than 48

Answer 9

actually it was supposed to say 47 and 28, lol yes

Answer 10

which is what i assume you meant, because there is no 48 in the entire diagram

Answer 11

lol, my bad

Answer 12

yes so (47, 28, 56, 33)

Answer 13

then take the union of those two set
\[\{28\}\cup \{28,33,47,56\}\]

Answer 14

ooops now i made a typo

Answer 15

\[\{29\}\cup \{28,33,47,56\}\]

Answer 16

lol, which is (28,29, 33, 47, 56)

Answer 17

that is what i get, yes

Answer 18

thanks :)