Final answer:
The statement that Ron can defer the $5,000 realized gain on the sale of the motorcycle until next year by accepting Jeff's offer is false, because gains are generally recognized in the year of the sale unless specific tax deferral provisions apply.
Step-by-step explanation:
The statement "By accepting Jeff's offer, Ron can defer the $5,000 realized gain on the sale of the motorcycle until next year" is false. Typically, when a sale is made and gain is realized, it must be recognized for tax purposes in the year that the sale occurred. However, there are specific instances, such as like-kind exchanges or installment sales, where deferral of realized gain is permissible under tax law. Without additional context suggesting that any of these special tax deferral mechanisms apply, the default assumption is that Ron would have to recognize the gain in the year of the sale.