The statement p Rightarrow (q Rightarrow p) i | vedclass

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

Question

(B) We evaluate the truth value of the statement $p$ $\Rightarrow (q$ $\Rightarrow p)$:$p$ $\Rightarrow (q$ $\Rightarrow p) \equiv \sim p \vee (q$ $\R

Vedclass · Accepted Answer

$p \Rightarrow (p \vee q)$

Vedclass · Answer

(B) We evaluate the truth value of the statement $p$ $\Rightarrow (q$ $\Rightarrow p)$:$p$ $\Rightarrow (q$ $\Rightarrow p) \equiv \sim p \vee (q$ $\Rightarrow p)$$\equiv \sim p \vee (\sim q \vee p)$$\equiv (\sim p \vee p) \vee \sim q$$\equiv T \vee \sim q \equiv T$Now,we evaluate the options:For option $B$: $p \Rightarrow (p \vee q) \equiv \sim p \vee (p \vee q)$$\equiv (\sim p \vee p) \vee q$$\equiv T \vee q \equiv T$Since both the given statement and option $B$ are tautologies (always true),they are logically equivalent.

The statement $p$ $\Rightarrow (q$ $\Rightarrow p)$ is logically equivalent to .....

Similar Questions

$\sim ((\sim p) \wedge q)$ is equivalent to

Which of the following logical statements is a tautology?

The equivalent statement of "If three vertices of a triangle are represented by cube roots of unity,then the triangle is an equilateral triangle" is

For statements $p$ and $q$,which of the following is true?

Which of the following sentences are statements? Give reasons for your answer.
$Today$ is a windy day.

Vedclass Test Series

Exam Paper Generator

Online Exam Module