Consider the following proposition: for each integer a, a = 3 (mod 7) if and only if (a? + 5a) = 3 (mod 7). (a) write the proposition as the conjunction of two conditional statements. (b) determine if the two conditional statements in part (a) are true or false. if a conditional statement is true, write a proof, and if it is false, provide a counterexample. (e) is the given proposition true or false? explain.