If p and q are true and r and s are false sta | vedclass

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Question

(C) Given: $p = T, q = T, r = F, s = F$. Check Option $(A): (q \wedge r) \vee (\sim p \wedge s) \equiv (T \wedge F) \vee (F \wedge F) \equiv F \vee F

Vedclass · Accepted Answer

$(p \rightarrow q) \vee (r \leftrightarrow s)$

Vedclass · Answer

(C) Given: $p = T, q = T, r = F, s = F$. Check Option $(A): (q \wedge r) \vee (\sim p \wedge s) \equiv (T \wedge F) \vee (F \wedge F) \equiv F \vee F \equiv F$. Check Option $(B): (\sim p$ $\rightarrow q)$ $\rightarrow (r \wedge s) \equiv (\sim T$ $\rightarrow T)$ $\rightarrow (F \wedge F) \equiv (F$ $\rightarrow T)$ $\rightarrow F \equiv T$ $\rightarrow F \equiv F$. Check Option $(C): (p$ $\rightarrow q) \vee (r \leftrightarrow s) \equiv (T$ $\rightarrow T) \vee (F \leftrightarrow F) \equiv T \vee T \equiv T$. Check Option $(D): (p \wedge \sim r) \wedge (\sim q \vee s) \equiv (T \wedge \sim F) \wedge (\sim T \vee F) \equiv (T \wedge T) \wedge (F \vee F) \equiv T \wedge F \equiv F$. Thus,option $(C)$ is true.

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

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