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Lógica matemática/ �∨(𝑞∧𝑟)∨(¬𝑞∧𝑟)

Expresión �∨(𝑞∧𝑟)∨(¬𝑞∧𝑟)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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