Which of the following statements is logicall | vedclass

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

Question

(D) The biconditional statement $p \leftrightarrow q$ is true when $p$ and $q$ have the same truth value.Therefore, $\sim (p \leftrightarrow q)$ is tr

Vedclass · Accepted Answer

$p \leftrightarrow \sim q$

Vedclass · Answer

(D) The biconditional statement $p \leftrightarrow q$ is true when $p$ and $q$ have the same truth value.Therefore, $\sim (p \leftrightarrow q)$ is true when $p$ and $q$ have different truth values.Checking the options:Option $D$: $p \leftrightarrow \sim q$ is true when $p$ and $\sim q$ have the same truth value, which means $p$ and $q$ must have different truth values.Thus, $\sim (p \leftrightarrow q) \equiv p \leftrightarrow \sim q$.

Which of the following statements is logically equivalent to $\sim (p \leftrightarrow q)$?

Similar Questions

The statement $(p \wedge \sim q) \wedge (\sim p \vee q)$ is which of the following?

Identify the type of "Or" used in the following statement and check whether the statement is true or false:
$\sqrt{2}$ is a rational number or an irrational number.

The contrapositive of the statement 'If Jaipur is the capital of Rajasthan,then Jaipur is in India' is:

Which of the following sentences are statements? Give reasons for your answer.
There are $35$ days in a month.

Let $r \in \{p, q, \sim p, \sim q\}$ be such that the logical statement $r \vee (\sim p) \Rightarrow (p \wedge q) \vee r$ is a tautology. Then $r$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module