The negation of the statement "The number is | vedclass

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

Question

(A) Let $p$: The number is an odd number. Let $q$: The number is divisible by $3$. The given statement is $p \leftrightarrow q$. The negation of a bic

Vedclass · Accepted Answer

The number is an odd number but not divisible by $3$ or the number is divisible by $3$ but not odd.

Vedclass · Answer

(A) Let $p$: The number is an odd number. Let $q$: The number is divisible by $3$. The given statement is $p \leftrightarrow q$. The negation of a biconditional statement is $\sim(p \leftrightarrow q) \equiv (p \wedge \sim q) \vee (q \wedge \sim p)$. Thus,the negation is: "The number is an odd number but not divisible by $3$ $OR$ the number is divisible by $3$ but not an odd number."

The negation of the statement "The number is an odd number if and only if it is divisible by $3$."

Similar Questions

The negation of the statement $(p \wedge q) \rightarrow (\sim p \vee r)$ is

Let $p$ and $q$ be two statements. Then $\sim(p \wedge (p \Rightarrow \sim q))$ is equivalent to:

$\sim (p \wedge q)$ is equal to .....

The statement $(p \wedge q) \Rightarrow (p \wedge r)$ is equivalent to:

The negation of the compound proposition $p \vee (\sim p \vee q)$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module