NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice
If p and q are two logical statements, then ~ p ∨ q → p → q is equivalent to
Options
- Ap ∧ q
- Bp → p ∨ q
- Cp ∨ q
- Dp ∨ q ↔ p ∧ q
Correct answer
B. p → p ∨ q
Step-by-step solution
∵ S → t ≡ ~ S ∨ t ∴ ~ p ∨ q → p → q ≡ p ∨ q ∨ p → q ≡ p ∨ q ∨ ~ p ∨ q ≡ p ∨ ~ p ∨ q ≡ t ∨ q ≡ t Also, p → p ∨ q ≡ ~ p ∨ p ∨ q ≡ t