Demostrar por tabelas-verdades as equivalências: a) ???? → ???? ∧ ???? ⟺ (???? → ????) ∧ (???? → ????) b) ???? → ???? ∨ ???? ⟺ (???? → ????) ∨ (???? → ????) c) ￢ (???? ...
a) ???? → ???? ∧ ???? ⟺ (???? → ????) ∧ (???? → ????)
b) ???? → ???? ∨ ???? ⟺ (???? → ????) ∨ (???? → ????)
c) ￢ (???? ∧ ???? ∧ ????) ⟺ ￢ ???? ∨ ￢ ???? ∨ ￢ ????
d) ￢ (???? ∨ ???? ∨ ????) ⟺ ￢ ???? ∧￢ ???? ∧ ￢ ????
Essa pergunta também está no material:
💡 1 Resposta
Ed 
a) | p | q | r | p → q ∧ r | p → q | p → r | (p → q) ∧ (p → r) | p → q ∧ r ⟺ (p → q) ∧ (p → r) | |---|---|---|-----------|-------|-------|------------------|--------------------------------| | V | V | V | V | V | V | V | V | | V | V | F | F | V | F | F | V | | V | F | V | F | F | V | F | V | | V | F | F | F | F | V | F | V | | F | V | V | V | V | V | V | V | | F | V | F | V | V | F | V | V | | F | F | V | V | V | V | V | V | | F | F | F | V | V | V | V | V | b) | p | q | r | p → q ∨ r | p → q | p → r | (p → q) ∨ (p → r) | p → q ∨ r ⟺ (p → q) ∨ (p → r) | |---|---|---|-----------|-------|-------|------------------|--------------------------------| | V | V | V | V | V | V | V | V | | V | V | F | V | V | F | V | V | | V | F | V | V | F | V | V | V | | V | F | F | F | F | F | F | V | | F | V | V | V | V | V | V | V | | F | V | F | V | V | V | V | V | | F | F | V | V | V | V | V | V | | F | F | F | V | V | V | V | V | c) | p | q | r | p ∧ q ∧ r | ￢(p ∧ q ∧ r) | ￢p | ￢q | ￢r | ￢p ∨ ￢q ∨ ￢r | ￢(p ∧ q ∧ r) ⟺ ￢p ∨ ￢q ∨ ￢r | |---|---|---|-----------|-------------|----|----|----|----------------|----------------------------------| | V | V | V | V | F | F | F | F | F | V | | V | V | F | F | V | F | F | V | V | V | | V | F | V | F | V | F | V | F | V | V | | V | F | F | F | V | F | V | V | V | V | | F | V | V | F | V | V | F | F | V | V | | F | V | F | F | V | V | F | V | V | V | | F | F | V | F | V | V | V | F | V | V | | F | F | F | F | V | V | V | V | V | V | d) | p | q | r | p ∨ q ∨ r | ￢(p ∨ q ∨ r) | ￢p | ￢q | ￢r | ￢p ∧ ￢q ∧ ￢r | ￢(p ∨ q ∨ r) ⟺ ￢p ∧ ￢q ∧ ￢r | |---|---|---|-----------|-------------|----|----|----|----------------|----------------------------------| | V | V | V | V | F | F | F | F | F | V | | V | V | F | V | F | F | F | V | F | V | | V | F | V | V | F | F | V | F | F | V | | V | F | F | V | F | F | V | V | F | V | | F | V | V | V | F | V | F | F | F | V | | F | V | F | V | F | V | F | V | F | V | | F | F | V | V | F | V | V | F | F | V | | F | F | F | F | V | V | V | V | V | V |
✏️ Responder
Para escrever sua resposta aqui, entre ou crie uma conta
Outros materiais
Compartilhar