The process of putting offenders in prison to protect the public while rehabilitating them is referred to as:

The process of putting offenders in prison with the dual objectives of protecting the public and rehabilitating the offenders is best described by the term "imprisonment." This term encompasses not just the act of confining individuals convicted of crimes but also the broader goals of the correctional system, which include enhancing public safety and providing opportunities for rehabilitation.

Imprisonment serves as a means to separate individuals who have committed offenses from society, thereby reducing the risk they pose to the community. At the same time, many correctional facilities implement programs aimed at rehabilitating inmates, addressing underlying issues such as substance abuse, mental health problems, and lack of education or job skills.

The other terms do not reflect this comprehensive function of imprisoning offenders. "Trial" refers to the legal process where evidence is presented to determine guilt or innocence, while "conviction" signifies a formal declaration of someone being guilty of a crime. "Detention," on the other hand, may imply a temporary holding of individuals (such as juveniles or those awaiting trial) rather than the long-term incarceration that is typically associated with imprisonment. Thus, imprisonment effectively captures the dual purpose of safeguarding the public and facilitating rehabilitation.