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 inverse of $p$ $\rightarrow (p$ $\rightarrow q)$ is

Write the negation of the following statement and check whether the resulting statement is true:
The sum of $3$ and $4$ is $9.$

What is the dual statement of the statement "Rina is healthy and Mina is beautiful"?

If the statement $p \rightarrow (q \vee r)$ is false,then the truth values of $p, q, r$ are respectively:

Let $S$ be a non-empty subset of $R$. Consider the statement $p : x \in S$ is a rational number such that $x > 0$. Which of the following is the negation of $p$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module