Question

Draw a Venn diagram and use the given information to fill in the number of elements for each region. ​n(Upper A primeA′​)equals=25​, ​n(B)equals=32, ​n(Upper A primeA′union∪Upper B primeB′​)equals=38​, ​n(Aintersect∩​B)equals=17

Answer 1

see below

Explanation:

It works reasonably well to start with A∩B = 17. (As a general rule, starting with the intersection of all regions makes it easier to sort out the rest.)

Then you can use B=32 to fill in A'B = 15. After that, you can use A'=25 to fill in A'B' = 10.

At this point, you can use (A∩B)' = 38 to fill in AB'=13.