1. (p a -q) v [- (p a q)]

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter2: Equations, Inequalities, And Problem Solving
Section2.6: More On Inequalities And Problem Solving
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Activity 9: Mathematics in the Modern Word - MMW- 113
Name:
Date:
Course & Section
Score:
A. Construct the truth value for each compound statement.
1. (p a -q) v [- (p a q)]
2. (p v q) a [- (p v-q)]
3. - (p v q) a (-r vq)
B. Use two truth tables to show whether each of the statements are equivalent.
4. p v (p a r), p
5. q a (q v r), q
6. pa (q v r), (p a q) v (p a r)
C. Prove whether the given statement is a tautology, self - contradiction or neither.
7. q v [- (q a r) A ~q]
8. - [(p v q) v (-p v q)]
9. - [p a (-p v q)] v q
10. - [p v (-p v q)]
Transcribed Image Text:Activity 9: Mathematics in the Modern Word - MMW- 113 Name: Date: Course & Section Score: A. Construct the truth value for each compound statement. 1. (p a -q) v [- (p a q)] 2. (p v q) a [- (p v-q)] 3. - (p v q) a (-r vq) B. Use two truth tables to show whether each of the statements are equivalent. 4. p v (p a r), p 5. q a (q v r), q 6. pa (q v r), (p a q) v (p a r) C. Prove whether the given statement is a tautology, self - contradiction or neither. 7. q v [- (q a r) A ~q] 8. - [(p v q) v (-p v q)] 9. - [p a (-p v q)] v q 10. - [p v (-p v q)]
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