inflexible has 4 distinct synonyms spread across 2 of its 4 senses. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. Its one recorded opposite is flexible.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
incapable of change
“a man of inflexible purpose”
not making concessions
“took an uncompromising stance in the peace talks”
resistant to being bent
“an inflexible iron bar”
Synonyms, antonyms and the broader and narrower relations for inflexible come from Princeton University’s WordNet. Full sources and licences.