1. U = {1, 2, 3, 4, 5, … 10} A = {6,7,8,9,10} B = {1,…

1. U = {1, 2, 3, 4, 5, … 10} A = {6,7,8,9,10} B
= {1, 3, 5, 7, 9}, C = { 2, 4, 6, 8, 10} b) Find B’ c) Find A ∪ (B
∩ C)
2. Use Venn diagrams to show why A ∩ (B ∪ C) =
(A ∩ B) ∪ (A ∩ C).
3. In a large class, there are 45 students who
are either on a sports team or involved in an academic club (such
as Forensics team). There are 22 students on a sports team and 27
students in an academic club. How many are both on a sports team
and an academic club.
4. A city offers three types of mass transit:
buses, subways, and trains. A survey of 200 city residents found
the following 73 did not use any mass transit at all 82 used the
subway 44 used only the subway 28 used both the bus and the subway
59 used the train. 10 people used all three types of transit 15
people used both the train and the bus. Draw a Venn diagram with
circles for B (bus), S (subway) and T(train). Fill in the numbers.
How many people in the survey used only the train? How many used
only one type of mass transit (only bus or only train or only
subway)?