Prove that whether the following statements are true or false, without using truth tables or direct assignments. (a) $ eg (p \vee eg C eg q \vee eg )) \equiv(p \vee q) \Rightarrow eg (p \vee r$ (b) $r \vee(p \Rightarrow q) \equivar Vee p) Rightarrowcr \vee q>$ (c) $cp \wedge eg q) \Rightarrow eg p) \equiv p \Rightarrow $ SP.SD. 170