Question:
The negative of the statement $\sim \mathrm{p} \wedge(\mathrm{p} \vee \mathrm{q})$ is
Correct Option: , 2
Solution:
$\sim(\sim \mathrm{p} \wedge(\mathrm{p} \vee \mathrm{q}))$
$\mathrm{p} \vee(\sim \mathrm{p} \wedge \sim \mathrm{q})$
$\underbrace{(p v \sim p)}_{t} \wedge(p v \sim q)$
$\mathrm{p} \vee \sim \mathrm{q}$