PLEASE SOLVE EVERYTHING

The Equation Editor Shortcuts table below lists the commands you may need to complete this homework. For more shortcuts, please reference Steve Jones' list from the Blackboard. Type your answer under each question. Do NOT use a separate answer sheet. 1. Determine whether each of the following sentences is a proposition. a. 2+5=19 b. Waiter, will you serve the nuts, I mean, would you serve the guests the nuts? c. Peel me a grape. d. Every even integer greater than 4 is the sum of two primes. e. The difference of two primes is 5 . 2. Given propositions p,q, and r,p is true, q is false, and r 's status is unknown at this time. Tell whether each proposition is true, is false, or has unknown status at this time. Show the truth tables. Example 1: pr pr is unknown. rp is true a. rp b. (pr)r c. (qr)r For each pair of proposition P and Q, state whether or not PQ. Show the truth tables. Example: P=pQ=pq PQ a. P=pqQ=pq b. P=(pq)rQ=p(qr)