Let the operations *, odot in {wedge, vee}. I | vedclass

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

Question

(B) We check each option by evaluating the expression $(p * q) \odot (p \odot \sim q)$.For option $A$: $* = \vee, \odot = \wedge$.The expression becom

Vedclass · Accepted Answer

$(\vee, \vee)$

Vedclass · Answer

(B) We check each option by evaluating the expression $(p * q) \odot (p \odot \sim q)$.For option $A$: $* = \vee, \odot = \wedge$.The expression becomes $(p \vee q) \wedge (p \wedge \sim q)$.Using the distributive law: $p \vee (q \wedge \sim q) \wedge (p \wedge \sim q)$ is not correct. Let's re-evaluate: $(p \vee q) \wedge (p \wedge \sim q) \equiv (p \wedge p \wedge \sim q) \vee (q \wedge p \wedge \sim q) \equiv (p \wedge \sim q) \vee (F) \equiv p \wedge \sim q$,which is not a tautology.For option $B$: $* = \vee, \odot = \vee$.The expression becomes $(p \vee q) \vee (p \vee \sim q)$.By associativity and commutativity: $p \vee p \vee (q \vee \sim q) \equiv p \vee T \equiv T$.Since the result is $T$ (a tautology),option $B$ is correct.

Let the operations $, \odot \in \{\wedge, \vee\}$. If $(p q) \odot (p \odot \sim q)$ is a tautology,then the ordered pair $(*, \odot)$ is:

Similar Questions

Negation of the statement: $\sqrt{5}$ is an integer or $5$ is irrational is

By giving a counterexample,show that the following statement is not true.
$q:$ The equation $x^{2}-1=0$ does not have a root lying between $0$ and $2$.

For each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.
The school is closed if it is a holiday or a Sunday.

The negation of the statement "If $I$ will go to college,then $I$ will be an engineer" is -

For each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.
Students can take French or Sanskrit as their third language.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Let the operations $*, \odot \in \{\wedge, \vee\}$. If $(p * q) \odot (p \odot \sim q)$ is a tautology,then the ordered pair $(*, \odot)$ is: