Sr Examen

Expresión (pvqvr)^(pvqv¬r)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

    Ha introducido [src]
    (p∨q∨r)∧(p∨q∨(¬r))
    $$\left(p \vee q \vee r\right) \wedge \left(p \vee q \vee \neg r\right)$$
    Solución detallada
    $$\left(p \vee q \vee r\right) \wedge \left(p \vee q \vee \neg r\right) = p \vee q$$
    Simplificación [src]
    $$p \vee q$$
    p∨q
    Tabla de verdad
    +---+---+---+--------+
    | p | q | r | result |
    +===+===+===+========+
    | 0 | 0 | 0 | 0      |
    +---+---+---+--------+
    | 0 | 0 | 1 | 0      |
    +---+---+---+--------+
    | 0 | 1 | 0 | 1      |
    +---+---+---+--------+
    | 0 | 1 | 1 | 1      |
    +---+---+---+--------+
    | 1 | 0 | 0 | 1      |
    +---+---+---+--------+
    | 1 | 0 | 1 | 1      |
    +---+---+---+--------+
    | 1 | 1 | 0 | 1      |
    +---+---+---+--------+
    | 1 | 1 | 1 | 1      |
    +---+---+---+--------+
    FNC [src]
    Ya está reducido a FNC
    $$p \vee q$$
    p∨q
    FND [src]
    Ya está reducido a FND
    $$p \vee q$$
    p∨q
    FNCD [src]
    $$p \vee q$$
    p∨q
    FNDP [src]
    $$p \vee q$$
    p∨q