Question

Write negation of $p\to (q\to r)$

• A. $p\wedge (q\wedge \sim r)$
• B. $p\vee (q\vee \sim r)$
• C. $p\to (q\to r)$
• D. $p\vee (q\to r)$

Answer 1

The correct option is A $p\wedge (q\wedge \sim r)$

Negation of $A\to B$ is $A\wedge \sim B$

$\Rightarrow \sim (p\to (q\to r))$

$=p\wedge \sim (q\to r)$

$=p\wedge (q\wedge \sim r)$ is the answer.