There are various different synonyms that one could use for the word "solution rim". One example might be "problem-solving edge". Another option could be "resolution border", while alternate choices may include "answer perimeter", "fix circumference", or "remedy brink". Each of these synonyms suggests a boundary or edge where a solution may be found to a given problem. They all imply a sense of closeness or proximity to finding an answer, and may help to convey a sense of urgency or immediacy. When considering a synonym for "solution rim", it may be helpful to consider the context in which the word is being used, in order to select the most appropriate alternative.