Chapter 1: Q37E (page 15)
Construct a truth table for each of these compound propositions.
Short Answer
Expert verified
a)
| p | q | r | |||
| T | T | T | F | T | T |
| T | T | F | F | F | F |
| T | F | T | T | T | T |
| T | F | F | T | T | T |
| F | T | T | F | T | T |
| F | T | F | F | F | T |
| F | F | T | T | T | T |
| F | F | F | T | T | T |
b)
| p | q | r | |||
| T | T | T | F | T | T |
| T | T | F | F | F | T |
| T | F | T | F | T | T |
| T | F | F | F | T | T |
| F | T | T | T | T | T |
| F | T | F | T | F | F |
| F | F | T | T | T | T |
| F | F | F | T | T | T |
c)
| p | q | r | ||||
| T | T | T | F | T | T | T |
| T | T | F | F | T | T | T |
| T | F | T | F | F | T | T |
| T | F | F | F | F | T | T |
| F | T | T | T | T | T | T |
| F | T | F | T | T | F | T |
| F | F | T | T | T | T | T |
| F | F | F | T | T | F | T |
d)
| p | q | r | ||||
| T | T | T | F | T | T | T |
| T | T | F | F | T | T | T |
| T | F | T | F | F | T | F |
| T | F | F | F | F | T | F |
| F | T | T | T | T | T | T |
| F | T | F | T | T | F | F |
| F | F | T | T | T | T | T |
| F | F | F | T | T | F | F |
e)
| p | q | r | ||||
| T | T | T | F | T | F | T |
| T | T | F | F | T | T | T |
| T | F | T | T | F | T | T |
| T | F | F | T | F | F | F |
| F | T | T | F | F | F | F |
| F | T | F | F | F | T | T |
| F | F | T | T | T | T | T |
| F | F | F | T | T | F | T |
f)
| p | q | r | |||||
| T | T | T | F | F | T | T | T |
| T | T | F | F | F | T | F | F |
| T | F | T | F | T | F | F | T |
| T | F | F | F | T | F | T | F |
| F | T | T | T | F | F | T | F |
| F | T | F | T | F | F | F | T |
| F | F | T | T | T | T | F | F |
| F | F | F | T | T | T | T | T |
Step by step solution
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