# Problem Solving

## CONTENTS OF CURRICULUM UNIT 80.07.04

## Logic and Set Theory

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Pretest
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Hopefully the reader has read the above problems and responded to them. The explanations and answers to the questions represent the areas to be covered. The answers to the first four questions are as follows: (1) 5 (2) True (3) (0,1,2,4) (4) a.) n+6=9. The answer to question 5 will be explained more fully in the unit but any sentences using the words correctly would be acceptable.

- 1. There were 20 people at a party. Thirteen had coke, 7 had sandwiches, 5 had both. How many did not eat or drink?
- 2. “If I see then I learn” is equivalent to “I do not see or I learn.” True or false?
- 3. If A= {0,1,2} B= {2,3,4} and C= {4,5,6}then A {B C} = ?
- Note: {} = Set
- = Union
- = Intersection
- 4. Which is not a statement?
- a. n+6=9
- b. 5+3=7
- c. The sky is blue.
- 5. Use any three of the following terms correctly in sentences to show their meanings.
- 1. hypothesis
- 2. implication
- 3. negation
- 4. converse
- 5. inverse
- 6. contrapositive
- 7. conjunction
- 8. disjunction