MyQuestionIcon

1

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

Logical Connectives

The dual of s...

Question

The dual of statement $p \lor (q \land r) \equiv (p \lor q) \land (p \lor r)$ is

A

$p \land (q \lor r) \equiv (p \land q) \lor (p \land r)$

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

B

$p \lor (q \land r) \equiv (p \land q) \land r$

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

C

$p \land (q \land r) \equiv (p \land q) \land r$

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

D

$p \lor (q \lor r) = (p \land q) \land r$

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

Open in App

Solution

The correct option is A
$p \land (q \lor r) \equiv (p \land q) \lor (p \land r)$

By definition of duality, replace $\land$ by $\lor$ and $\lor$ by $\land$
So, dual of $p \land (q \lor r) \equiv (p \land q) \lor (p \land r)$

Suggest Corrections

thumbs-up

11

Similar questions

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

Q. The negation of

q \lor \sim (p \land r)

p, q, r

denote the arbitary statements then the logical equivalance of the statement

p \Rightarrow (q \lor r)

If S(p,q,r)= $\sim p \lor \sim (q \lor r)$ is a compund statement, then S(~p,~q,~r) is

Q. Negation of the statement

\sim p \to (q \lor r)

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Logical Connectives

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon