MUST POST FULL ANSWER TO EVERY PART

Consider the following statement: For any integer x, 3x+4 is odd if and only if 5x+3 is even. Answer the following questions about this statement.

6(a) Write the two statements you would need to prove in order to prove the given statement.

6(b) Prove the first statement is true. You may use any method you wish, but must state it at the start of your proof (if using contraposition or contradiction).

6(c) Prove the second statement is true. You may use any method you wish, but must state it at the start of your proof (if using contraposition or contradiction).