First slide

Introduction to mathematical reasoning

Question

lf the Boolean expression $(p \oplus q) \land (~ p \cdot q)$ is equivalent to $p \land q$ where $\oplus, \cdot \in {\land, \lor},$ the n the ordered pair $(\oplus, \cdot)$ is

Moderate

A

$(\land, v)$
B

$(\land, \land)$
C

$(\lor, \land)$
D

$(\lor, \lor)$

Solution

(a) Let us check all the options
(a) Consider;. $\oplus = \land and \cdot = \lor$
ln that case.we get
(b) Consider, $\oplus = \land and \cdot = \land .$
ln that case.we get
(c) Consider , $\oplus = \lor and \cdot = \land$
ln that case, we get
(d) Consider, $\oplus = \lor and ⊙ = v$
n that case, we get

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