math
svxwanasz2Construct a truth table for ~ (p∨q)∧r and determine the truth value when p is false, q is true, and r is false.
| p | q | r | p∨q | ~ (p∨q) | ~ (p∨q)∧ r |
|---|---|---|---|---|---|
| T | T | T | 1 | 2 | 3 |
| T | T | F | 4 | 5 | 6 |
| T | F | T | 7 | 8 | 9 |
| F | T | T | 10 | 11 | 12 |
| F | F | T | 13 | 14 | 15 |
| F | T | F | 16 | 17 | 18 |
| T | F | F | 19 | 20 | 21 |
| F | F | F | 22 | 23 | 24 |
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