JEE Main202227 Jun 2022Morning ShiftMathematicsMathematical ReasoningActual
The boolean expression ~ p ∧ q ∨ q is equivalent to
Options
- Aq → p ∧ q
- Bp → q
- Cp → p → q
- Dp → p ∨ q
Correct answer
D. p → p ∨ q
Step-by-step solution
Given ~ p ∧ q ∨ q ≡ ~ p ∨ ~ q ∨ q ≡ ~ p ∨ t ≡ t Also p → p ∨ q ≡ ~ p ∨ p ∨ q ≡ ~ p ∨ p ∨ q ≡ t ∨ q ≡ t