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Mathematics
Which of the following is not logically equivalent?
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Q. Which of the following is not logically equivalent?
Mathematical Reasoning
A
$\sim \left(p \to q\right)$ and $\left(p \wedge \sim q\right)$
14%
B
$\sim \left(p \vee q\right)$ and $\left(\sim p\right) \wedge \left(\sim q\right)$
21%
C
$p \to q$ and $\left(\sim p\right) \wedge q$
50%
D
$\sim \left[ p \vee \left(\sim q\right)\right]$ and $\left(\sim p\right) \wedge q$
14%
Solution:
$p \to q \equiv \left(\sim p\right) \vee q$