Final answer:
The statement is true; the Senate can expel a member with a two-thirds vote, as provided by the U.S. Constitution to maintain legislative integrity and discipline.
Step-by-step explanation:
The statement that the Senate may expel one of its members with a two-thirds vote is true. According to Article I, Section 5, of the United States Constitution, both the House of Representatives and the Senate have the authority to establish their own rules, discipline members for disorderly behavior, and, with the concurrence of two-thirds, expel a member. This is a significant power that serves as a check on the behavior of members within these legislative bodies.
The expulsion of a member is a rare and serious action that the Senate can take to maintain the integrity and proper functioning of the legislative process. Expelling a member is often reserved for cases involving significant breaches of public trust or gross misconduct.