Verified Solution • 2025–26 Session moderate

QJEEM22Ma63b5: JEE Main 2022 Mathematics - Class 11 JEEM22Ma63b5 Solution: The boolean expression ( ∼ ( p ∧ q ) ) ∨ q is equivalent to :

The boolean expression (∼(p∧q))∨q is equivalent to :

Multiple Choice Options

  • A q→(p∧q)
  • B p→q
  • C p→(p→q)
  • D p→(p∨q)

Step-by-Step Verified Solution

Making truth table

p q p ∧ q ∼ p ∧ q (∼ (p ∧ q)) ∨ q p ∨ q p → q p → (p ∨ q)
T T T F T T T T
T F F T T T F T
F F F T T T T T
F F F T T F T T
Tautology Tautology

∴ (∼ (p ∧ q)) ∨ q ≡ p → (p ∨ q)

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