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12.4: Capítulo 4 Soluciones para ejercicios

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Capítulo 4: Lógica

1. $$1,2,3,4,5,6,7,9$$

2. $$=IF(A1 < 40000, 0.13 \cdot A1, 0.20 \cdot A1)$$

3. $$F \sim T \sim F \sim T$$

4. $$T \sim T \sim T \sim F$$

5. $$a\; b\; c \;d$$

6.

$$A$$ $$B$$ $$C$$ $$(A ∨ B) ∧ C$$
\ (A\) ">T \ (B\) ">T \ (C\) ">T \ ((A;; B); C\) ">T
\ (A\) ">T \ (B\) ">T \ (C\) ">F \ ((A, A; B); C\) ">F
\ (A\) ">T \ (B\) ">F \ (C\) ">T \ ((A;; B); C\) ">T
\ (A\) ">T \ (B\) ">F \ (C\) ">F \ ((A, A; B); C\) ">F
\ (A\) ">F \ (B\) ">T \ (C\) ">T \ ((A;; B); C\) ">T
\ (A\) ">F \ (B\) ">T \ (C\) ">F \ ((A, A; B); C\) ">F
\ (A\) ">F \ (B\) ">F \ (C\) ">T \ ((A, A; B); C\) ">F
\ (A\) ">F \ (B\) ">F \ (C\) ">F \ ((A, A; B); C\) ">F

7.

$$A$$ $$B$$ $$C$$ $$\sim (A ∨ B) ∧ C$$
\ (A\) ">T \ (B\) ">T \ (C\) ">T \ (\ sim (A... B) C\) ">F
\ (A\) ">T \ (B\) ">T \ (C\) ">F \ (\ sim (A... B) C\) ">F
\ (A\) ">T \ (B\) ">F \ (C\) ">T \ (\ sim (A... B) C\) ">F
\ (A\) ">T \ (B\) ">F \ (C\) ">F \ (\ sim (A... B) C\) ">F
\ (A\) ">F \ (B\) ">T \ (C\) ">T \ (\ sim (A... B) C\) ">F
\ (A\) ">F \ (B\) ">T \ (C\) ">F \ (\ sim (A... B) C\) ">F
\ (A\) ">F \ (B\) ">F \ (C\) ">T \ (\ sim (A... B) C\) ">T
\ (A\) ">F \ (B\) ">F \ (C\) ">F \ (\ sim (A... B) C\) ">F

8.

$$A$$ $$B$$ $$C$$ $$\sim (A ∨ B) → C$$
\ (A\) ">T \ (B\) ">T \ (C\) ">T \ (\ sim (A... B) → C\) ">T
\ (A\) ">T \ (B\) ">T \ (C\) ">F \ (\ sim (A... B) → C\) ">T
\ (A\) ">T \ (B\) ">F \ (C\) ">T \ (\ sim (A... B) → C\) ">T
\ (A\) ">T \ (B\) ">F \ (C\) ">F \ (\ sim (A... B) → C\) ">F
\ (A\) ">F \ (B\) ">T \ (C\) ">T \ (\ sim (A... B) → C\) ">T
\ (A\) ">F \ (B\) ">T \ (C\) ">F \ (\ sim (A... B) → C\) ">F
\ (A\) ">F \ (B\) ">F \ (C\) ">T \ (\ sim (A... B) → C\) ">T
\ (A\) ">F \ (B\) ">F \ (C\) ">F \ (\ sim (A... B) → C\) ">F

9. Argumento no válido

10. Argumento no válido

11. Argumento no válido

12. Argumento válido

13. Argumento válido

14. Argumento válido