Discrete Mathematics

I have answers and solutions below but do not understand how one transforms into the other.

Can you please write each step and explain the given solutions? (#2, #4 )

Understandable handwriting plz!

Don't just write any nonsense explanation (otherwise reported)

3. Proof using propositional logic properties Using propositional logic properties and other logical equivalences (not truth tables), prove the following statements: 1. (pV q) V (pV-q) is a tautology 2. ((p-+ r) (q-+ r) ^ (p V q)) ris a tautology 3. (p V q) ( p -q) is a contradiction 4. (q p) ^ ( q s-+ r) p is a contradiction Solution