Exercise # 1.3 Q 01 to 05 Logical Equivalent|| Rosen Discrete Mathematics 7th Edition|| M.Owais

#discretemathematics #logicalEquivalent #exercise1.3 #maths #education    • Truth table, Ex 1.1  Q31 || Kenneth.H Rose...   1. Use truth tables to verify these equivalences. a) p ∧ T ≡ p b) p ∨ F ≡ p c) p ∧ F ≡ F d) p ∨ T ≡ T e) p ∨ p ≡ p f ) p ∧ p ≡ p 2. Show that ¬(¬p) and p are logically equivalent. 3. Use truth tables to verify the commutative laws a) p ∨ q ≡ q ∨ p. b) p ∧ q ≡ q ∧ p. 4. Use truth tables to verify the associative laws a) (p ∨ q) ∨ r ≡ p ∨ (q ∨ r) 5. Use a truth table to verify the distributive law p ∧ (q ∨ r) ≡ (p ∧ q) ∨ (p ∧ r).