Question

Es LOGICA PROPOSICIONAL, me pueden ayudar porfavor?

Answer 1

$\begin{array}{c|c|c|c} p & q & \neg q & p \land \neg q \\ T & T & F & F \\ T & F & T & T \\ F & T & F & F \\ F & F & T & F \end{array}$

$\begin{array}{c|c|c|c} t & s & \neg t & \neg t \implies s \\ T & T & F & T \\ T & F & F & T \\ F & T & T & T \\ F & F & T & F \end{array}$

$\begin{array}{c|c|c}p\land \neg q & \neg t \implies s & (p \land \neg q) \implies (\neg t \implies s) \\T & T & T \\ T & F & F \\ F & T & T \\ F & F & T \end{array}$

The given logical statement is false when $p\land\neg q$ and $\neg t\implies s$ are true and false, respectively.

• $p\land\neq g$ is true when $p$ is true and $q$ is false
• $\neg t \implies s$ is false when both $t$ and $s$ are false