(a) Prove that the natural number x is prime and there is no positiveinteger greater than 1 and less than or equal to that divides x. (b) Prove that if p is a prime number and then 3 divides(Hint: When p is divided by 3, the remainder is either 0, 1, or 2. That is,for some integer

Math 116: Truth Tables. Truth table: a chart consisting of all possible combinations of the clauses in the statement Examples: PRETEND P= a 21 on the ACT and Q= a 3.0 g.p.a P Q PQ T T T T F T F T T F F F Logical symbols: Connector Symbol and Or If-then negation P Q PQ T T T T F F F