Something inflexible does not bend easily. A stiff back can make you inflexible, or unable to fold over and touch your toes. A really busy schedule can make you inflexible or unable to bend or accommodate your plans for others.

Combine the Latin root words in- meaning "not" and flectere, "to bend" and you have the very meaning of inflexible: not able to bend. Ballet is not for the inflexible or those people who simply are not bendy by nature. Compromise also is not for the inflexible, or those who are really rigid or set in their ways.

Definitions of inflexible
  1. adjective
    resistant to being bent
    “an inflexible iron bar”
    “an inflexible knife blade”
    not elastic
    having stiff muscles as the result of excessive exercise
    rigid, stiff
    incapable of or resistant to bending
    not fully rigid
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    flexible, flexile
    able to flex; able to bend easily
    capable of resuming original shape after stretching or compression; springy
    bendable, pliable, pliant, waxy
    capable of being bent or flexed or twisted without breaking
    having unusually flexible joints especially of the limbs or fingers
    limber, supple
    (used of persons' bodies) capable of moving or bending freely
    (used of artifacts) easily bent
    spinnable, spinnbar
    capable of being spun into fibres
    (of muscles) relieved of stiffness by stretching
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  2. adjective
    incapable of change
    “a man of inflexible purpose”
    adamant, adamantine, inexorable, intransigent
    impervious to pleas, persuasion, requests, reason
    die-hard, rock-ribbed
    tradition-bound and obstinately opinionated
    fossilised, fossilized, ossified
    set in a rigidly conventional pattern of behavior, habits, or beliefs
    stubbornly resistant to change or improvement
    brassbound, ironclad
    inflexibly entrenched and unchangeable
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    capable of being changed
    limber, supple
    (used of e.g. personality traits) readily adaptable
    negotiable, on the table
    able to be negotiated or arranged by compromise
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  3. adjective
    incapable of adapting or changing to meet circumstances
    “an inflexible law”
    synonyms: rigid, unbending
    not adaptable
  4. adjective
    not making concessions
    synonyms: sturdy, uncompromising
    hard-line, hardline
    firm and uncompromising
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    compromising, conciliatory, flexible
    making or willing to make concessions
    tending to give in or surrender or agree
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