For the simple statements p, q,and r,p righta | vedclass

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

Question

(B) Given the expression $p \rightarrow (q \vee r)$.Using the logical equivalence $p \rightarrow q \equiv \sim p \vee q$,we get:$p \rightarrow (q \vee

Vedclass · Accepted Answer

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

Vedclass · Answer

(B) Given the expression $p \rightarrow (q \vee r)$.Using the logical equivalence $p \rightarrow q \equiv \sim p \vee q$,we get:$p \rightarrow (q \vee r) \equiv \sim p \vee (q \vee r)$By the associative law of disjunction:$\equiv (\sim p \vee q) \vee (\sim p \vee r)$Applying the definition of implication $p \rightarrow q \equiv \sim p \vee q$ again to both parts:$\equiv (p$ $\rightarrow q) \vee (p$ $\rightarrow r)$

For the simple statements $p, q$,and $r$,$p \rightarrow (q \vee r)$ is logically equivalent to

Similar Questions

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

$(p \wedge \sim q) \wedge (\sim p \vee q)$ is :-

Write the negation of the following statement:
The number $2$ is greater than $7.$

The negation of the compound statement $\sim p \vee (p \vee (\sim q))$ is

The statement pattern $[(p \vee q) \wedge \sim p] \wedge (\sim q)$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module