225

You visited us 225 times! Enjoying our articles? Unlock Full Access!

Mathematical Statements

Let p and ...

Question

Let $p$ and $q$ be two propositions. Then the contrapositive the implication $p \to q$

\sim q \to\sim p

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

\sim p \to\sim q

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

q \to p

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

p \leftrightarrow q

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

Open in App

Solution

The correct option is C $\sim q \to\sim p$
the contrapositive of $p \to q$ is $\sim q \to\sim p$

Suggest Corrections

Similar questions

\sim (p \leftrightarrow q) \equiv (p \land q) \lor (\sim p \land q)

p \leftrightarrow q \equiv (p \leftrightarrow q) \lor (q \leftarrow p)

P \lor \sim Q

\sim (\sim P \land Q)

(P \land Q) \lor (P \land \sim Q) \lor (\sim P \land \sim Q)

(P \land Q) \lor (P \land \sim Q) \lor (\sim P \land Q)

[(p \to q) \land q] \to p

(p \land q) \to\sim p

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

(p \leftrightarrow r) \land (q \leftrightarrow p)

p

q

p

q

p \land q

The contrapositive of $p \to$ (~ $p \land q)$ is

Join BYJU'S Learning Program