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Question
Complete the truth table.
| p | q | r | q → r | r → p | (q → r) ˅ (r → p) |
| T | T | T | T | `square` | T |
| T | T | F | F | `square` | `square` |
| T | F | T | T | `square` | T |
| T | F | F | T | `square` | `square` |
| F | T | T | `square` | F | T |
| F | T | F | `square` | T | `square` |
| F | F | T | `square` | F | T |
| F | F | F | `square` | T | `square` |
The given statement pattern is a `square`
Chart
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Solution
| p | q | r | q → r | r → p | (q → r) ˅ (r → p) |
| T | T | T | T | T | T |
| T | T | F | F | T | T |
| T | F | T | T | T | T |
| T | F | F | T | T | T |
| F | T | T | T | F | T |
| F | T | F | F | T | T |
| F | F | T | T | F | T |
| F | F | F | T | T | T |
The given statement pattern is a tautology.
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