Sets & Venn Diagrams

n(A \cup B) = 30 + 25 - 10 = 45

Universal set |U|50

n(A ∪ B)45

Only A20

Only B15

Neither5

Complement of A20

Universal set |U|50

|A|30

|B|25

|A ∩ B| (overlap)10

Set |A| = 30, |B| = 25, |A∩B| = 10 — confirm n(A∪B) reads 45
On the same numbers, confirm the "only A" region reads 20
Set the universal set |U| = 50 (with |A|=30, |B|=25, |A∩B|=10) — confirm "neither" reads 5
With |U| = 50 and |A| = 30, confirm the complement of A reads 20
Keeping |A| = 30 and |B| = 25, find the overlap |A∩B| that makes n(A∪B) exactly 40