Question 1: Using the logic lows show that propositions and p(rq) and p(rq) are logically equivalent. Question 2: Show that the conditional statement (rs)(rs) is a tautology without using truth tables. Question 3: Show that (pq)(qp) is a tautology using logic lows. Question 4: Without using truth tables, show that the statement (pq)(pq) is a tautology. Question 5: State the converse, inverse and contrapositive of each of the following statements: pqp