Which of the following pairs are not logicall | vedclass

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

Question

(B) We evaluate each pair for logical equivalence:$A$. $\sim (\sim p) \equiv p$ (Law of Double Negation). These are equivalent.$B$. $p \vee (p \wedge

Vedclass · Accepted Answer

$p \vee (p \wedge q)$ and $q$

Vedclass · Answer

(B) We evaluate each pair for logical equivalence:$A$. $\sim (\sim p) \equiv p$ (Law of Double Negation). These are equivalent.$B$. $p \vee (p \wedge q) \equiv p$ (Absorption Law). Since $p 
ot\equiv q$,these are not logically equivalent.$C$. $\sim (p \wedge q) \equiv \sim p \vee \sim q$ (De Morgan's Law). These are equivalent.$D$. $\sim (\sim p \wedge q) \equiv \sim (\sim p) \vee \sim q \equiv p \vee \sim q$ (De Morgan's Law). These are equivalent.Thus,the pair in option $B$ is not logically equivalent.

Which of the following pairs are not logically equivalent?

Similar Questions

Which of the following is not a correct statement?

Write the contrapositive and converse of the following statement:
If two lines are parallel,then they do not intersect in the same plane.

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

Verify by the method of contradiction.
$p: \sqrt{7}$ is irrational

The statement $(p \wedge q) \to (p \vee q)$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module