Prove the statement below. Use only the definitions of the terms and the assumptions listed on page 146 of the textbook, not any previously established properties of odd and even integers. Follow the directions given in this section for writing proofs of universal statements.

If x is any even integer and y is any odd integer, then 3x + y – 1 is even.

Notes:

1. Use page 146 of the textbook.

Discrete Mathematics with Applications 4th ed. by Susanna Epp (ISBN: 9780495391326), Cengage.

Calculus for Business, Economics, Life Sciences, and Social Sciences, 13th edition by Raymond Barnett, Michael Ziegler, and Karl Byleen (ISBN-13: 978-0321925138).