What is a written request to a court to settle a dispute called?

The correct choice for a written request to a court to settle a dispute is a petition. A petition typically initiates a legal action and outlines the specific relief or remedy that the petitioner is seeking from the court. It can be related to various legal issues, such as family law disputes, probate matters, or civil rights claims.

In legal terminology, a petition serves as the formal means for an individual or entity to request a ruling or decision from the court, thereby setting the case in motion. It provides the necessary context and background for the judge to understand the situation and make an informed decision.

The other options relate to different procedural actions within the legal system. An objection is typically used to challenge the admissibility of evidence or a motion made in court, while a compliant refers to a formal accusation or statement of fact in a civil lawsuit. A motion is a formal request for the court to take a specific action or make a ruling on a particular aspect of the case. While these terms are all relevant in the legal context, they do not define the initial written request to address a dispute, which is specifically what a petition does.