Final answer:
The statement that is NOT true is that a carrier has the right, but not the duty, to settle any claim if it deems reasonable and prudent to do so.
Step-by-step explanation:
The statement that is NOT true is:
(C) A carrier has the right, but not the duty, to settle any claim if it deems reasonable and prudent to do so.
Under a liability insurance policy, the carrier has a duty to defend the insured, which means they must provide legal representation and pay for the insured's legal costs in a lawsuit. The duty to defend is greater than the duty to pay. The carrier cannot simply choose to settle or not settle a claim as they see fit.