2. Let p,q,r be propositions. Determine the truth value of each of these statements if the domain of each variable consists of all propositions. Provide a simple explanation to your decision. a) pq((pTqF)[(pq)T]) Hint: read as "If p,q are propositions such that pT and qF, then (pq) T. TRUE FALSE because: b) pq((pqT)qT]) TRUE FALSE because: c) pqr((pTqFrT)[(pq)rT]) TRUE FALSE because: 3. Use a direct proof to show that the sum of three odd integers is odd