Question

The negation of $\sim s\vee (\sim r\wedge s)$ is equivalent to

• A. $s\vee \sim r$
• B. $s\wedge (r\wedge \sim s)$
• C. $s\vee (r\wedge \sim s)$
• D. $s\wedge r$

Answer 1

The correct option is D

$s\wedge r$

$\sim s\vee (\sim r\wedge s)=(\sim s\vee \sim r)\wedge (\sim s\vee s)$

$=\sim (s\wedge r)\wedge t=\sim (s\wedge r)$