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Discrete Mathematics(a) Show that p \lor (q \land r) and (p \lor q) \land (p \lor r) are logically equivalent. This is the distributive law of disjunction over conjunction.20225mDiscrete MathematicsUsing truth table, show that- (i) ((p → (q → r)) → ((p → q) → (p → r))) is a tautology; (ii) ¬(q → r) ∧ r ∧ (p → q) is a contradiction.201914mDiscrete MathematicsThe statement p → q is logically equivalent to (i) p ∨ q (ii) p ∨ ~q (iii) ~p ∨ q (iv) ~p → q20192mDiscrete MathematicsThe contrapositive of the conditional statement p \rightarrow q is (i) q \rightarrow p (ii) \sim p \rightarrow \sim q (iii) p \rightarrow q (iv) \sim q \rightarrow \sim p20192m
PreviousUsing truth table, show that- (i) ((p → (q → r)) → ((p → q) → (p → r))) is a tautology; (ii) ¬(q → r) ∧ r ∧ (p → q) is a contradiction.NextFor any sets A and B, prove that (i) (A ∪ B)' = A' ∩ B' (ii) (A ∩ B)' = A' ∪ B'
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