MHT CET2017MathematicsMathematical Reasoning
The statement pattern ( ∽ p ∧ q ) is a logically equivalent to
Options
- A( p ∨ q ) ∨ ∽ q
- B( p ∨ q ) ∧ ∽ p
- C( p ∧ q ) → p
- D( p ∨ q ) → p
Correct answer
B. ( p ∨ q ) ∧ ∽ p
Step-by-step solution
Hence p ∨ q ∧ ∽ p = p ∧ ∽ p ∨ ( q ∧ ∽ p ) .......... Distributive law = F ∨ q ∧ ∽ p Complementary law = q ∧ ∽ p Identify law = ∽ p ∧ q Commutative law