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.
[pic]
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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