inequity

[in-ek-wi-tee]
noun, plural inequities for 2.
1.
lack of equity; unfairness; favoritism or bias.
2.
an unfair circumstance or proceeding.

Origin:
1550–60; in-3 + equity

inequity, iniquity.
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
inequity (ɪnˈɛkwɪtɪ)
 
n , pl -ties
1.  lack of equity; injustice; unfairness
2.  an unjust or unfair act, sentence, etc

Collins English Dictionary - Complete & Unabridged 10th Edition
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Example sentences
Your statement itself speaks of inequity being the source of violent action and
  armed conflict.
Chief among those was the coastline's inequity of access.
The reasons for this persistent inequity are complex, and they vary with
  geography.
Obviously, it's no wonder that the people who occupy the top of the heap can't
  see this inequity.
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