not flexible; incapable of or resistant to being bent; rigid: an inflexible steel rod.
of a rigid or unyielding temper, purpose, will, etc.; immovable: an inflexible determination.
not permitting change or variation; unalterable: inflexible rules.

1350–1400; Middle English < Latin inflexibilis rigid, unbending. See in-3, flexible

inflexibility, inflexibleness, noun
inflexibly, adverb

1. unbendable, stiff. 2. rigorous, stern, unrelenting, unremitting, stubborn, obstinate, intractable, obdurate, unbending, adamant. Inflexible, relentless, implacable, inexorable imply having the quality of not being turned from a purpose. Inflexible means unbending, adhering undeviatingly to a set plan, purpose, or the like: inflexible in interpretation of rules; an inflexible will. Relentless suggests so pitiless and unremitting a pursuit of purpose as to convey a sense of inevitableness: as relentless as the passing of time. Implacable means incapable of being placated or appeased: implacable in wrath. Inexorable means unmoved by prayer or entreaty: inexorable in demanding payment. 3. undeviating.

2. amenable. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
inflexible (ɪnˈflɛksəbəl)
1.  not flexible; rigid; stiff
2.  obstinate; unyielding
3.  without variation; unalterable; fixed
[C14: from Latin inflexībilis; see inflect]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

c.1400, "incapable of being bent, rigid," from L. inflexibilis, from inflexus, pp. of inflectere, from in- "not" + flectere "to bend." Figurative sense of "unbending in temper or purpose" first attested late 14c.
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Lazar rightly chafes at some of the more clumsy and inflexible programs.
Both are rather inflexible and noisy fabrics, but soften up after some use.
They move too slowly, forget things and are inflexible.
Throughout the day, there are three trains per hour, making rail travel even
  more appealing for those with inflexible schedules.
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