(a) Let p and :1 be statements. Use only ONE suitable method throughout to determine precisely whether the following compound statement is a tautology, contradiction or contingent statement: (Imam = P (2 marks} (b) Express the following using predicates notations with the least number of words: (i) Each integer is less titan some rational numbers. (ii) The negation of the following statement: All (livid-19's Vaccines do not work on any Covid-I'J's variants. {2 marks}