PLEASE ANSWER ALL 3 QUESTIONS

7. [4 points] Construct a truth table for and show that it's a tautology. (pq)(qr))(pr) 8. I4 points. ] What rule of inference is used in each of these arguments? c) If it is rainy, then the pool will be closed. It is rainy. Therefore, the pool is closed d) If I go swimming, then I will stay in the sun too long. If I stay in the sun too long, then I will sunburn. Therefore, if 1go swimming, then 1 will sunburn. 9. 14 points] Build a digital circuit that produces the output (p)p(q)) when given input bits p,q, and r