QJEEM23Ma02b8: JEE Main 2023 Mathematics - Class 11 JEEM23Ma02b8 Solution: Among the statements : ( S 1 )   ( ( p ∨ q ) ⇒ r ) ⇔ ( p ⇒ …

Question

Verified Solution • 2025–26 Session moderate

Among the statements :

$(S 1) ((p \lor q) \Rightarrow r) \Leftrightarrow (p \Rightarrow r)$

$(S 2) ((p \lor q) \Rightarrow r) \Leftrightarrow ((p \Rightarrow r) \lor (q \Rightarrow r))$

Accepted Answer

$S 1 : ((p \lor q) \Rightarrow r) \Leftrightarrow (p \Rightarrow r)$

$S 2 : ((p \lor q) \Rightarrow r) \Leftrightarrow ((p \Rightarrow r) \lor (q \Rightarrow r))$

In $S 1 :$ If $p = F, q = T, r = F$ then $S_{1}$ is false

In $S 2 :$ If $p = T, q = F, r = F$ then $S_{2}$ is false

$∴$ Neither S1 nor S2 is a tautology

QJEEM23Ma02b8: JEE Main 2023 Mathematics - Class 11 JEEM23Ma02b8 Solution: Among the statements : ( S 1 ) &nbsp; ( ( p ∨ q ) ⇒ r ) ⇔ ( p ⇒ …