Irresolvedly is an adverb used to describe a situation or problem that remains unresolved or without a solution. There are several synonyms for this word that can convey a similar meaning depending on the context. "Unresolved" is a common alternative that has a straightforward connotation and is often used in technical or formal settings. "Permanently unsettled" suggests a condition that cannot be resolved or that will continue to cause problems. "Intractable" conveys a sense of the difficulty in resolving the issue, while "unfixable" suggests that there may be no solution at all. Overall, there are many synonyms for "irresolvedly" that can help to convey a precise meaning in a diverse range of situations.