Most blacks do in fact live in the inner cities.
According to this Brookings Institute report the majority of black people living in metropolitan areas in the US live in the suburbs.
Most mainstream news sources
... are more likely to report events when they are (1) unusual and/or (2) shocking. By "inner cities" I take it you mean poor central residential areas. Not much happens there that would be of interest to most mainstream news sources.
[EDITED for slightly more precise wording.]
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