| M5.A1 Truth Table Exercises | ||||||||||||
| Back-up QUESTION SET | ||||||||||||
| 1 | Premise: | P → Q | ||||||||||
| Conclusion: | ~P → ~Q | |||||||||||
| Answer: | ||||||||||||
| P | Q | |||||||||||
| 2 | Premise: | P → Q | ||||||||||
| Conclusion: | ~Q → ~P | |||||||||||
| Answer: | ||||||||||||
| P | Q | |||||||||||
| 3 | Premise: | (P & Q) → R | ||||||||||
| Q → R | ||||||||||||
| Conclusion: | P → R | |||||||||||
| P | Q | 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: | ||||||||||||
| 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 | ||||||||||
