Truth Table Exercises : Back-up QUESTION SET
1 Premise: P → Q
Conclusion: ~P → ~Q
2 Premise: P → Q
Conclusion: ~Q → ~P
3 Premise: (P & Q) → R
Q → R
Conclusion: P → R
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:
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."