The statements p, q and r have truth values T | vedclass

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

Question

(B) Given: $p = T, q = F, r = F$.Step $1$: Evaluate the statement $S = [\sim (p \land \sim q) \lor (q \lor \sim r)]$.$\sim q = \sim F = T$.$(p \land \

Vedclass · Accepted Answer

True, False

Vedclass · Answer

(B) Given: $p = T, q = F, r = F$.Step $1$: Evaluate the statement $S = [\sim (p \land \sim q) \lor (q \lor \sim r)]$.$\sim q = \sim F = T$.$(p \land \sim q) = (T \land T) = T$.$\sim (p \land \sim q) = \sim T = F$.$\sim r = \sim F = T$.$(q \lor \sim r) = (F \lor T) = T$.$S = (F \lor T) = T$.Step $2$: Find the dual $S^*$. Replace $\land$ with $\lor$, $\lor$ with $\land$, $T$ with $F$, and $F$ with $T$.$S^* = [\sim (p \lor \sim q) \land (q \land \sim r)]$.Step $3$: Evaluate $S^*$.$(p \lor \sim q) = (T \lor T) = T$.$\sim (p \lor \sim q) = \sim T = F$.$(q \land \sim r) = (F \land T) = F$.$S^* = (F \land F) = F$.Thus, the truth values are $T$ and $F$.

The statements $p, q$ and $r$ have truth values True, False and False respectively. The truth values of a logical statement $[\sim (p \land \sim q) \lor (q \lor \sim r)]$ and its dual are, respectively.....

Similar Questions

The conditional statement $(p \wedge q) \implies p$ is:

The statement $(P$ $\Rightarrow Q) \wedge (R$ $\Rightarrow Q)$ is logically equivalent to:

If the truth value of the compound statement $[(p \leftrightarrow q) \land (q \to r) \land \sim r] \to (p \land \sim q)$ is false, then the truth values of the statement patterns $(p \to q) \leftrightarrow (q \to r)$ and $\sim (p \lor r) \to (q \land p)$ are, respectively ...

The contrapositive of $(p \vee q) \Rightarrow r$ is

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module