Unit Test Review



Name:___________________________________________ Date:____________________ Period:_________

Set Theory 4 Part Task

Directions: Write problems and solve on your own paper!

Part 1:

Create 2 sets. Find their union and intersection. Swap sets with a partner and try theirs. Do this at least 5 times. One example has been given.

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Part 2:

Describe 5 sets, then write them in set notation. One example has been given.

Set E is the set of all even negative integers greater than -12.

Part 3:

Make up at least 7 set unions or intersections using Venn diagrams. You may work with a partner to swap and solve. One example has been given.

[pic].

Part 4:

Solve these Venn diagram problems. You must draw the Venn circles on your own paper.

1. A survey of 80 sophomores at a certain western college showed the following:

36 take English 32 take history

32 take political science 16 take history and English

16 take political science and history 14 take political science and English

6 take all three

How many students:

a) Take English and neither of the other two? ____________

b) Take none of the three courses? ____________

c) Take history, but neither of the other two? ____________

d) Take political science and history but not English? ____________

e) do not take political science? _____________

2. The science club advisor asked club members what science courses they liked.

18 members said they liked physics 17 liked chemistry

10 liked biology 9 liked physics and chemistry

4 liked biology and chemistry 2 liked physics and biology

2 liked all three

How many science club members were interviewed? _____________

3. In a survey of children who saw three different shows at Walt Disney World, the following information was gathered:

• 39 children liked The Little Mermaid

• 43 children liked 101 Dalmatians

• 56 children liked Mickey Mouse

• 7 children liked The Little Mermaid and 101 Dalmatians

• 10 children liked The Little Mermaid and Mickey Mouse

• 16 children liked 101 Dalmatians and Mickey Mouse

• 4 children liked The Little Mermaid, 101 Dalmatians, and Mickey Mouse

• 6 children did not like any of the shows

Answer the following questions:

• How many students were surveyed? _____________

• How many liked The Little Mermaid only? _____________

• How many liked 101 Dalmatians only? _____________

• How many liked Mickey Mouse only? _____________

Part 5 Practice as many other problems as you need. Be sure you study which parts of the Real Number System are subsets of each other!

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