# Problem Solving

## CONTENTS OF CURRICULUM UNIT 80.07.04

## Logic and Set Theory

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PostTest
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The following PostTest may or may not be relevant depending on the emphasis given to each area of this unit. The five questions below are similar to those given in the pretest. The posttest results will depend on which areas of this unit (including sample lesson plans) were taught. Teachers may wish to devise a test of their own or simply add to this brief posttest.

- 1. The 15 players on the team were asked to name their favorite baseball team. 6 chose the Yankees and 6 chose the Red Sox. 3 children chose both. How many children chose neither of these teams?
- 2. p>q is equivalent to ~ p v q. True or false?
- 3. If A= {5,10,15,20}, B= {15,20} and C= {5,20,25} then A ½(B U C) =?
- 4. Which is not a statement? a.) 5+2=6 b.) 6+n=9 c.) 7+5=12.
- 5. What is the converse and what is the inverse of the following statement: If it rains then I will get wet.

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Solutions:
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1. 6

2. True

3. { 5,15,20}

4. 6+n=9

5. Inverse If I get wet then it rains.

Converse If it does not rain then I will not get wet.