MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Implication

Negation of t...

Question

Negation of the statement $p \to (q \lor r)$ is

A

\sim p \to\sim (q \lor r)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

\sim p \to\sim (q \land r)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

(q \lor r) \to p

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

p \land (\sim q \land \sim r)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $p \land (\sim q \land \sim r)$
We know that, $\sim (p \to q) \equiv p \land (\sim q)$
Also, negation of $(q \lor r)$ is $(\sim q \land \sim r)$
So, $\sim (p \to (q \lor r)) \equiv p \land (\sim q \land \sim r)$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Negation of the statement

\sim p \to (q \lor r)

Negation of the statement $\sim p \to (q \lor r)$ is

The negation of $q \lor \sim (p \land r)$ is ___.

Q. The negation of

q \lor \sim (p \land r)

Q. The negation of the statement

(p \land q) \to (\sim p \lor r)

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon