Which of the following statement patterns is | vedclass

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

Question

(A) statement pattern is a contradiction if its truth value is always false $(c)$ for all possible truth values of its components.For $S_3 \equiv (\si

Vedclass · Accepted Answer

$S_3 \equiv (\sim p \wedge q) \wedge (\sim q)$

Vedclass · Answer

(A) statement pattern is a contradiction if its truth value is always false $(c)$ for all possible truth values of its components.For $S_3 \equiv (\sim p \wedge q) \wedge (\sim q)$:$S_3 \equiv \sim p \wedge (q \wedge \sim q)$ [Associative law]$S_3 \equiv \sim p \wedge c$ [Since $q \wedge \sim q \equiv c$]$S_3 \equiv c$ [Since any statement $\wedge c \equiv c$]Since $S_3$ results in a contradiction,option $A$ is correct.

Which of the following statement patterns is a contradiction?

Similar Questions

Write the negation of the following statement and check whether the resulting statement is true:
There does not exist a quadrilateral which has all its sides equal.

Let $p$ and $q$ be any two logical statements and $r: p \to (\sim p \vee q)$. If $r$ has a truth value $F$,then the truth values of $p$ and $q$ are respectively

The negation of $\forall n \in N, n+7 > 6$ is ....

$(p \wedge \sim q \wedge \sim r) \vee (\sim p \wedge q \wedge \sim r) \vee (\sim p \wedge \sim q \wedge r)$ is equivalent to-

The false statement in the following is

Vedclass Test Series

Exam Paper Generator

Online Exam Module