inner city
US /ˌɪn.ɚ ˈsɪt.i/
UK /ˌɪn.ɚ ˈsɪt.i/

1.
центр города, неблагополучный район
the older, more crowded, and poorer part of a city, often characterized by a high concentration of minority groups and social problems
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Many social programs are aimed at improving conditions in the inner city.
Многие социальные программы направлены на улучшение условий в центре города.
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Crime rates are often higher in the inner city.
Уровень преступности часто выше в центре города.