Verified Solution • 2025–26 Session moderate

QJEEM19Ma2689: JEE Main 2019 Mathematics - Class 11 JEEM19Ma2689 Solution: If the truth value of the statement p → (~q ∨ r) is false (F),…

If the truth value of the statement p → (~q ∨ r) is false (F), then the truth values of the statements p, q, r are respectively :

Multiple Choice Options

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

Step-by-Step Verified Solution

p → ( ~ q ∨ r) ≡ ~ p ∧ ( ~ q ∨ r) ≡ ( ~ p ∨ ~ q) ∨ r ≡ ~ ( p ∧ q ) ∨ r

p q r (p ∧ q) ∨ r
T T T T
T T F F
T F T T
T F F T
F T T T
F T F T
F F T T
F F F T

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