The statement pattern sim(p leftrightarrow si | vedclass

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

Question

(D) To determine the nature of the statement pattern $\sim(p \leftrightarrow \sim q)$,we construct a truth table:| $p$ | $q$ | $\sim p$ | $\sim q$ | $

Vedclass · Accepted Answer

equivalent to $(p \leftrightarrow q)$

Vedclass · Answer

(D) To determine the nature of the statement pattern $\sim(p \leftrightarrow \sim q)$,we construct a truth table:| $p$ | $q$ | $\sim p$ | $\sim q$ | $p \leftrightarrow \sim q$ | $\sim(p \leftrightarrow \sim q)$ | $p \leftrightarrow q$ ||---|---|---|---|---|---|---|| $T$ | $T$ | $F$ | $F$ | $F$ | $T$ | $T$ || $T$ | $F$ | $F$ | $T$ | $T$ | $F$ | $F$ || $F$ | $T$ | $T$ | $F$ | $T$ | $F$ | $F$ || $F$ | $F$ | $T$ | $T$ | $F$ | $T$ | $T$ |From the truth table,we observe that the column for $\sim(p \leftrightarrow \sim q)$ is identical to the column for $(p \leftrightarrow q)$.Therefore,the statement pattern $\sim(p \leftrightarrow \sim q)$ is equivalent to $(p \leftrightarrow q)$.

The statement pattern $\sim(p \leftrightarrow \sim q)$ is

Similar Questions

Consider the following statement patterns:
$A$. $(q \to p) \vee (p \to q)$
$B$. $(\sim p \vee \sim q) \leftrightarrow \sim (p \wedge q)$
$C$. $[(p \vee q) \wedge \sim p] \wedge \sim q$
$D$. $(p \wedge q) \wedge (\sim p \vee \sim q)$
Which of the following is correct?

If $p$ and $q$ each have truth value $F$,then the truth values of the statement patterns $(\sim p \vee q) \leftrightarrow \sim(p \wedge q)$ and $\sim p \leftrightarrow (p \rightarrow \sim q)$ respectively are

The negation of the conditional statement,"If it rains,$I$ shall go to school" is:

The proposition $(p$ $\Rightarrow \sim p) \wedge (\sim p$ $\Rightarrow p)$ is a

The contrapositive of the statement pattern $[p \lor (p \to q)] \to (p \land \sim q)$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module