Consider the following statements.p: If 3^4 | vedclass

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(D) Step $1$: Evaluate $p$. $3^4 = 81$ and $4^3 = 64$. Since $81 > 64$, the antecedent is true. $3^3 = 27$ and $4^4 = 256$. Since $27 > 256$ is false,

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$(p \land q) \lor r$

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(D) Step $1$: Evaluate $p$. $3^4 = 81$ and $4^3 = 64$. Since $81 > 64$, the antecedent is true. $3^3 = 27$ and $4^4 = 256$. Since $27 > 256$ is false, the implication $T \implies F$ is $F$. Thus, $p$ is $F$.Step $2$: Evaluate $q$. For $x^2 - 2x + 2 = 0$, the discriminant $D = (-2)^2 - 4(1)(2) = 4 - 8 = -4$. Since $D Step $3$: Evaluate $r$. $r$ is '$p$ is true or $q$ is false'. Since $p$ is $F$ and $q$ is $F$, 'not $q$' is $T$. Thus, $F \lor T$ is $T$. So, $r$ is $T$.Step $4$: Check options. $p=F, q=F, r=T$.$(A)$ $(F \lor F) \land T = F \land T = F$.$(B)$ $F \lor (F \land T) = F \lor F = F$.$(C)$ $F \land (F \lor T) = F \land T = F$.$(D)$ $(F \land F) \lor T = F \lor T = T$.Therefore, option $D$ is correct.

Consider the following statements.
$p$: If $3^4 > 4^3$, then $3^3 > 4^4$
$q$: The roots of the equation $x^2 - 2x + 2 = 0$ are real if and only if Mumbai is in Maharashtra.
$r$: Statement $p$ is true or statement $q$ is false.
Which of the following has truth value $T$ (true)?

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Consider the following statements.$p$: If $3^4 > 4^3$, then $3^3 > 4^4$$q$: The roots of the equation $x^2 - 2x + 2 = 0$ are real if and only if Mumbai is in Maharashtra.$r$: Statement $p$ is true or statement $q$ is false.Which of the following has truth value $T$ (true)?