The statement pattern [(p land q) to (sim p l | vedclass

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

Question

(B) Let $A = (p \land q)$ and $B = (\sim p \lor r)$.The given expression is of the form $(A 	o B) \lor (B 	o A)$.Using the logical equivalence $(X \

Vedclass · Accepted Answer

a tautology

Vedclass · Answer

(B) Let $A = (p \land q)$ and $B = (\sim p \lor r)$.The given expression is of the form $(A 	o B) \lor (B 	o A)$.Using the logical equivalence $(X 	o Y) \equiv (\sim X \lor Y)$, we have:$(A 	o B) \equiv (\sim A \lor B)$$(B 	o A) \equiv (\sim B \lor A)$Substituting these into the expression:$(\sim A \lor B) \lor (\sim B \lor A)$By the commutative and associative laws, we can rearrange this as:$(\sim A \lor A) \lor (\sim B \lor B)$Since $(X \lor \sim X)$ is always true $(T)$:$T \lor T = T$Therefore, the statement pattern is a tautology.

The statement pattern $[(p \land q) \to (\sim p \lor r)] \lor [(\sim p \lor r) \to (p \land q)]$ is

Similar Questions

The negation of $(p \land q) \to ((p \lor r) \to \sim q)$ is equivalent to ...

If the statement $(p \vee \sim r) \rightarrow (q \wedge r)$ is false and the statement $q$ is true,then what is the truth value of statement $p$?

The statement $p \to (q \to p)$ is equivalent to

What type of statement is $\sim (p \rightarrow q) \Leftrightarrow (\sim p \vee \sim q)$?

The contrapositive of the statement,"If two lines do not intersect in the same plane,then they are parallel," is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module