Mathematical Reasoning: Negation of the statement (pvee r)Rightarrow(qvee r) is : | JEE Main 2021

JEE Main 2021 (Online) 31st August Evening ShiftQuestion 1

Negation of the statement $(p\vee r)\Rightarrow(q\vee r)$ is :

Mathematical Reasoning

$p\wedge q\wedge r$$\sim p\wedge q\wedge r$$p\wedge\sim q\wedge\sim r$✓ Correct answer$\sim p\wedge q\wedge\sim r$

Solution

$\sim[(p\vee r)\Rightarrow(q\vee r)]=(p\vee r)\wedge\sim q\wedge\sim r=p\wedge\sim q\wedge\sim r$.

Mathematical Reasoning - JEE Mathematics question (JEE Main 2021 (Online) 31st August Evening Shift)