Verified Solution • 2025–26 Session moderate

QJEEM18Ma75ca: JEE Main 2018 Mathematics - Class 11 JEEM18Ma75ca Solution: If p → ( ∼ p ∨ ∼ q) is false, then the truth values of p and q…

If p → (∼ p∨ ∼ q) is false, then the truth values of p and q are respectively :

Multiple Choice Options

  • A F, F
  • B T, F
  • C F, T
  • D T, T

Step-by-Step Verified Solution

p q ~p ~q ~p ∨ ~q p → (~p ∨ ~q)
T T F F F F
T F F T T T
F T T F T T
F F T T T T

From the truth table,

p → (~p ∨ ~q) is false only when p and q both are true.

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