Final answer:
The true statement about the President's power of removal is that the President can generally remove any appointed officeholders. The Senate's consent is not required for removal, contrary to some historical attempts to limit this power. so, option 3 is the correct answer.
Step-by-step explanation:
The statement about the President's power of removal that is TRUE is: As a general rule, the President may remove any officeholders he or she has appointed. Historical debates, like those during Reconstruction, showed a tension between congressional control and presidential independence. Nevertheless, the Supreme Court ruled that the Senate does not have the right to impair the President's removal power. This highlights the President's significant authority and independence in managing the administration. Senate approval is not required for removal, and there is no constitutional requirement that an official must remain until a successor is confirmed. Moreover, the President may not need to demonstrate incompetence to remove an appointee; the power extends more broadly.