Chapter 1: Q36E (page 36)
Construct a truth table for each of these compound propositions.
a)
b)
c)
d)
e)
f)
Short Answer
Expert verified
a)
| p | q | r | ||
| T | T | T | T | T |
| T | T | F | T | T |
| T | F | T | T | T |
| T | F | F | T | T |
| F | T | T | T | T |
| F | T | F | T | T |
| F | F | T | F | T |
| F | F | F | F | F |
b)
| p | q | r | ||
| T | T | T | T | T |
| T | T | F | T | F |
| T | F | T | T | T |
| T | F | F | T | F |
| F | T | T | T | T |
| F | T | F | T | F |
| F | F | T | F | F |
| F | F | F | F | F |
c)
| p | q | r | ||
| T | T | T | T | T |
| T | T | F | T | T |
| T | F | T | F | T |
| T | F | F | F | F |
| F | T | T | F | T |
| F | T | F | F | F |
| F | F | T | F | T |
| F | F | F | F | F |
d)
| p | q | r | ||
| T | T | T | T | T |
| T | T | F | T | F |
| T | F | T | F | F |
| T | F | F | F | F |
| F | T | T | F | F |
| F | T | F | F | F |
| F | F | T | F | F |
| F | F | F | F | F |
e)
| p | q | r | ||
| T | T | T | T | F |
| T | T | F | T | T |
| T | F | T | T | F |
| T | F | F | T | T |
| F | T | T | T | F |
| F | T | F | T | T |
| F | F | T | F | F |
| F | F | F | F | F |
f)
| p | q | r | ||
| T | T | T | T | T |
| T | T | F | T | T |
| T | F | T | F | F |
| T | F | F | F | T |
| F | T | T | F | F |
| F | T | F | F | T |
| F | F | T | F | F |
| F | F | F | F | T |
Step by step solution
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