Discrete Math

Question 2 Determine if the following universal statements are true or false. If true, provide a proof. If false, provide a counterexample. (a) For every integer p, if p is prime then (-1)p = -1. (b) For every integer n, if n is odd then -n is odd. 2 (c) For any three consecutive integers, the product of the first and third integers is always 1 less than the square of the second. (d) For any three consecutive integers, the sum of the three integers is even