NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice
The negation of ~ p ∧ q ∨ p ∧ ~ q is
Options
- Ap ∨ ~ q ∨ ~ p ∨ q
- Bp ∨ ~ q ∧ ~ p ∨ q
- Cp ∧ ~ q ∧ ~ p ∨ q
- Dp ∧ ~ q ∧ p ∨ ~ q
Correct answer
B. p ∨ ~ q ∧ ~ p ∨ q
Step-by-step solution
Let, s : ~ p ∧ q ∨ p ∧ ~ q ~ s : ~ ~ p ∧ q ∨ p ∧ ~ q ~ s : ~ ~ p ∧ q ∧ ~ p ∧ ~ q ~ s : p ∨ ~ q ∧ ~ p ∨ q