Question

Es LOGICA PROPOSICIONAL, me pueden ayudar porfavor?

Answer 1

`\begin{array}c p & q & \\eg q & p \land \\eg q \\ T & T & F & F \\ T & F & T & T \\ F & T & F & F \\ F & F & T & F \end{array}`

`\begin{array}c t & s & \\eg t & \\eg t \implies s \\ T & T & F & T \\ T & F & F & T \\ F & T & T & T \\ F & F & T & F \end{array}`

`\begin{array}cp\land \\eg q & \\eg t \implies s & (p \land \\eg q) \implies (\\eg 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\\eg q` and
`\\eg t\implies s` are true and false, respectively.

• 
  `p\land\\eq g` is true when
  `p` is true and
  `q` is false
• 
  `\\eg t \implies s` is false when both
  `t` and
  `s` are false