JEE PYQ: Mathematical Reasoning Question 8
Question 8 - 2021 (25 Feb Shift 1)
The statement $A \to (B \to A)$ is equivalent to:
(1) $A \to (A \wedge B)$
(2) $A \to (A \vee B)$
(3) $A \to (A \to B)$
(4) $A \to (A \leftrightarrow B)$
Type: MCQ
Show Answer
Answer: (2)
Solution
$A \to (B \to A) \Rightarrow A \to (\sim B \vee A) \Rightarrow \sim A \vee (\sim B \vee A) \Rightarrow \sim B \vee t = t$ (tautology)
From options: (2) $A \to (A \vee B) \Rightarrow \sim A \vee (A \vee B) \Rightarrow (\sim A \vee A) \vee B \Rightarrow t \vee B \Rightarrow t$
BETA
