Consider the following statements.p: text{If | vedclass

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

Question

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

Vedclass · Accepted Answer

$(p \land q) \lor r$

Vedclass · Answer

(D) $1$. Analyze statement $p$: $3^4 = 81$ 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 false. Thus, $p$ is $F$.$2$. Analyze statement $q$: The discriminant of $x^2 - 2x + 2 = 0$ is $D = (-2)^2 - 4(1)(2) = 4 - 8 = -4$. Since $D $3$. Analyze statement $r$: $r$ is $p \lor 
eg q$. Since $p$ is $F$ and $q$ is $F$, $
eg q$ is $T$. Thus, $r = F \lor T = T$.$4$. Evaluate options:$(A)$ $(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 true.

Similar Questions

$\sim[(p \vee \sim q) \rightarrow (p \wedge \sim q)] \equiv$

If the truth value of the statement $(P \wedge (\sim R)) \rightarrow ((\sim R) \wedge Q)$ is $F$,then the truth value of which of the following is $F$?

Which statement given below is a tautology?

Negation of the statement: $3+6 > 8$ and $2+3 < 6$ is

The statement pattern $(p \land q) \to (r \lor \sim s)$ is false. Then the truth values of $p, q, r$ and $s$ are respectively

Vedclass Test Series

Exam Paper Generator

Online Exam Module