Question

$p \rightarrow \sim q$ can also be written as

• A. p $\rightarrow$ q
• B. $\sim p v \sim q$
• C. $q \rightarrow p$
• D. $\sim q \rightarrow \sim p$

Answer 1

Answer: (B)

$\sim p v \sim q$

Answer 2

p
q
$\sim p$
$\sim q$
$p \to q$
$p \to \sim q$
$q \to p$
$\sim\, q \to \,\sim\,q$
$\sim\, P \vee \sim q$

T
T
F
F
T
F
T
T
F

T
F
F
T
F
T
T
F
T

F
T
T
F
T
T
F
T
T

F
F
T
T
T
T
T
T
T

From the above table, the truth values of $p \to \sim q$ and $\sim p \vee \sim q$ are same.