Corporal Whitcomb, an atheist, was a disgruntled subordinate who felt he could do the chaplain’s job much better than the chaplain was doing it and viewed himself, therefore, as an underprivileged victim of social inequity.
There are no more uses of "inequity" in the book.
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unacceptable inequities in public health care
She was too old to rail against the inequity of it, but too young to accept her father’s crippling disease without putting up some kind of fight.