Mathematical Reasoning: The statement (pRightarrow q)vee(pRightarrow r) is NOT equivalent to | JEE Main 2022

JEE Main 2022 (Online) 29th July Evening ShiftQuestion 1

The statement $(p\Rightarrow q)\vee(p\Rightarrow r)$ is NOT equivalent to

Mathematical Reasoning

$(p\wedge(\sim r))\Rightarrow q$$(\sim q)\Rightarrow((\sim r)\vee p)$✓ Correct answer$p\Rightarrow(q\vee r)$$(p\wedge(\sim q))\Rightarrow r$

Solution

The given statement is $\sim p\vee q\vee r$, equal to (A), (C), (D). (B) is $q\vee\sim r\vee p$, not equivalent.

Mathematical Reasoning - JEE Mathematics question (JEE Main 2022 (Online) 29th July Evening Shift)