in·e·qual·i·ty

[in-i-kwol-i-tee]
noun, plural in·e·qual·i·ties.
1.
the condition of being unequal; lack of equality; disparity: inequality of size.
2.
social disparity: inequality between the rich and the poor.
3.
disparity or relative inadequacy in natural endowments: a startling inequality of intellect, talents, and physical stamina.
4.
injustice; partiality.
5.
unevenness, as of surface.
6.
an instance of unevenness.
7.
variableness, as of climate.
8.
Astronomy.
a.
any component part of the departure from uniformity in astronomical phenomena, especially in orbital motion.
b.
the amount of such a departure.
9.
Mathematics. a statement that two quantities are unequal, indicated by the symbol ≠; alternatively, by the symbol <, signifying that the quantity preceding the symbol is less than that following, or by the symbol >, signifying that the quantity preceding the symbol is greater than that following.

Origin:
1375–1425; late Middle English < Latin inaequālitās. See in-3, equality

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Based on the Random House Dictionary, © Random House, Inc. 2013.
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Inequality is always a great word to know.
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family of curves including circles, ellipses, parabolas, and hyperbolas
formula for the roots of a quadratic equation
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World English Dictionary
inequality (ˌɪnɪˈkwɒlɪtɪ) [Click for IPA pronunciation guide]
 
n , pl -ties
1.  the state or quality of being unequal; disparity
2.  an instance of disparity
3.  lack of smoothness or regularity
4.  social or economic disparity
5.  maths
 a.  a statement indicating that the value of one quantity or expression is not equal to another, as in xy
 b.  a relationship between real numbers involving inequality: x may be greater than y, denoted by x>y, or less than y, denoted by x
6.  astronomy a departure from uniform orbital motion

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Etymonline
Word Origin & History

inequality
1484, "difference of rank or dignity," from O.Fr. inequalité (14c.), from M.L. inæqualitas, from inæqualis "unequal," from in- "not" + æqualis "equal" (see equal).
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
In much of the developing world, lack of water is at the center of a vicious
  circle of inequality.
Thou shall not incite rebellion with your treatises of inequality, lack of
  rights and freedoms, and calls for anarchy.
Education, in and of itself, is not an antidote to poverty and inequality.
Some would trace this strange reluctance to the corruption and inequality in
  campaign financing.
Image for inequality
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