The inverse of the proposition (p wedge sim q | vedclass

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

Question

(B) The given proposition is $(p \wedge \sim q) \rightarrow r$. The inverse of a conditional statement $A \rightarrow B$ is defined as $\sim A \righta

Vedclass · Accepted Answer

$(\sim p) \vee q \rightarrow (\sim r)$

Vedclass · Answer

(B) The given proposition is $(p \wedge \sim q) \rightarrow r$. The inverse of a conditional statement $A \rightarrow B$ is defined as $\sim A \rightarrow \sim B$. Here,$A = (p \wedge \sim q)$ and $B = r$. Therefore,the inverse is $\sim (p \wedge \sim q) \rightarrow \sim r$. Using De Morgan's Law,$\sim (p \wedge \sim q) \equiv \sim p \vee \sim (\sim q) \equiv \sim p \vee q$. Thus,the inverse is $(\sim p) \vee q \rightarrow (\sim r)$.

The inverse of the proposition $(p \wedge \sim q) \rightarrow r$ is:

Similar Questions

If $p \rightarrow (p \wedge \neg q)$ is false,then the truth values of $p$ and $q$ are respectively

Write the contrapositive and converse of the following statement:
"You cannot comprehend geometry if you do not know how to reason deductively."

The equivalent statement of "If three vertices of a triangle are represented by cube roots of unity,then the triangle is an equilateral triangle" is

$(p \wedge r) \Leftrightarrow (p \wedge (\sim q))$ is equivalent to $(\sim p)$ when $r$ is.

The negation of the converse of the statement $p \lor q$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module