If p and q are true statements and r is a fal | vedclass

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

Question

(C) Given: $p = T, q = T, r = F$. Evaluating each option: $(A)$ $(p \vee q) \vee r \equiv (T \vee T) \vee F \equiv T \vee F \equiv T$. $(B)$ $(p \wedg

Vedclass · Accepted Answer

$(p$ $\rightarrow r)$ $\rightarrow q$ has truth value $F$.

Vedclass · Answer

(C) Given: $p = T, q = T, r = F$. Evaluating each option: $(A)$ $(p \vee q) \vee r \equiv (T \vee T) \vee F \equiv T \vee F \equiv T$. $(B)$ $(p \wedge q)$ $\rightarrow r \equiv (T \wedge T)$ $\rightarrow F \equiv T$ $\rightarrow F \equiv F$. $(C)$ $(p$ $\rightarrow r)$ $\rightarrow q \equiv (T$ $\rightarrow F)$ $\rightarrow T \equiv F$ $\rightarrow T \equiv T$. $(D)$ $(p \leftrightarrow q)$ $\rightarrow r \equiv (T \leftrightarrow T)$ $\rightarrow F \equiv T$ $\rightarrow F \equiv F$. Since the question asks which statement is correct,and option $(C)$ evaluates to $T$,option $(C)$ is the correct statement.

If $p$ and $q$ are true statements and $r$ is a false statement,then which of the following is correct?

Similar Questions

If $p$ and $q$ are simple propositions,then $p \Rightarrow q$ is false when

The statement $[(p \wedge q)$ $\rightarrow p]$ $\rightarrow (q \wedge \sim q)$ is

If $p:$ Seema is fat. $q:$ She is happy,then the logical equivalent statement of 'If Seema is fat,then she is happy' is

The statement pattern $p \rightarrow \sim(p \wedge \sim q)$ is equivalent to

Vedclass Test Series

Exam Paper Generator

Online Exam Module