Sr Examen
Expresión qv!(p^r)v(p^r)
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
q∨(p∧r)∨(¬(p∧r))
$$q \vee \left(p \wedge r\right) \vee \neg \left(p \wedge r\right)$$
Solución detallada
$$\neg \left(p \wedge r\right) = \neg p \vee \neg r$$
$$q \vee \left(p \wedge r\right) \vee \neg \left(p \wedge r\right) = 1$$
$$q \vee \left(p \wedge r\right) \vee \neg \left(p \wedge r\right) = 1$$
Tabla de verdad
+---+---+---+--------+ | p | q | r | result | +===+===+===+========+ | 0 | 0 | 0 | 1 | +---+---+---+--------+ | 0 | 0 | 1 | 1 | +---+---+---+--------+ | 0 | 1 | 0 | 1 | +---+---+---+--------+ | 0 | 1 | 1 | 1 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+