The converse of the contrapositive of the con | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The given conditional statement is $p \rightarrow \sim q$. The contrapositive of a conditional statement $A \rightarrow B$ is $\sim B \rightarrow

Vedclass · Accepted Answer

$\sim p \rightarrow q$

Vedclass · Answer

(D) The given conditional statement is $p \rightarrow \sim q$. The contrapositive of a conditional statement $A \rightarrow B$ is $\sim B \rightarrow \sim A$. Applying this to $p \rightarrow \sim q$,the contrapositive is $\sim(\sim q) \rightarrow \sim p$,which simplifies to $q \rightarrow \sim p$. The converse of a conditional statement $A \rightarrow B$ is $B \rightarrow A$. Applying this to the contrapositive $q \rightarrow \sim p$,the converse is $\sim p \rightarrow q$.

The converse of the contrapositive of the conditional $p \rightarrow \sim q$ is

Similar Questions

Which of the following sentences are statements? Give reasons for your answer.
"Answer this question."

If $(p \wedge \sim r) \rightarrow (\sim p \vee q)$ has a truth value of $False$,then the truth values of $p, q, r$ are respectively:

Consider the following statements:
$P :$ Suman is brilliant
$Q :$ Suman is rich
$R :$ Suman is honest
The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as:

Let $\Delta, \nabla \in \{\wedge, \vee\}$ be such that $(p \nabla q) \Rightarrow ((p \nabla q) \nabla r)$ is a tautology. Then $(p \nabla q) \Delta r$ is logically equivalent to

Let the operations $, \odot \in \{\wedge, \vee\}$. If $(p q) \odot (p \odot \sim q)$ is a tautology,then the ordered pair $(*, \odot)$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module