In: Advanced Math
Answer the following questions: (a) Show that the following is a tautology by using truth table and using list of equivalences. (This problem should be solved using 2 different methods mentioned above). ((¬p −→ q) ∧ (¬p −→ ¬q)) −→ p (b) Show that the compound propositions are logically equivalent, by using truth table and using list of equivalences. ¬p ∨ (r −→ ¬q) and (¬p ∨ ¬q) ∨ ¬r (c) Show that the propositions ¬p ∨ (¬r ∨ q) and r −→ (p −→ q) are logically equivalent using the method of your choice.