# Table Constructions | Homework Help Websites

M5 Assignment 2: Constructing Truth Tables

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In this assignment, you will construct truth tables and use them to assess the validity of arguments.

Review the exercises posted by your classmates and compare them to your own exercises.

 Grading Criteria Maximum Points Quality of initial posting, including fulfillment of assignment instructions 16 Quality of responses to classmates 12 Frequency of responses to classmates 4 Reference to supporting readings and other materials 4 Language and grammar 4 Total: 40

## Sheet 1

 M5.A1 Truth Table Exercises Back-up QUESTION SET 1 Premise: P → Q Conclusion: ~P → ~Q P Q P → Q ~P → ~Q T T T F F T F F 2 Premise: P → Q Conclusion: ~Q → ~P P Q P → Q ~Q → ~P T T T F F T F F 3 Premise: (P & Q) → R Q → R Conclusion: P → R P Q R P & Q (P & Q) → R Q → R P → R T T T T T F T F T T F F F T T F T F F F T F F F 4 Translate the following argument and use truth tables to test for validity. “If 9 is less than 10 and every odd number less than 10 is divisible by 3, then 9 is divisible by 3. THEREFORE If 9 is less than 10 it is less than 10 it is divisible by 3.” N = “9 is less than 10” O = “Every odd number less than 10 is divisible by 3.” D = “9 is divisible by 3.” Premise: Conclusion: N O D 5. Translate the following argument and use truth tables to test for validity. “If it rains tomorrow, I will have a tough commute. If it snows tomorrow, I will have a tough commute. It will either rain or snow tomorrow. THEREFORE I will have a tough commute.” R = “It rains tomorrow.” S = “It snows tomorrow.” T = “I will have a tough commute.” Premise: Conclusion ANSWER: R S T

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