Black people live on the north side. Most neighborhoods on the north side are twice as expensive or more. There's mixed neighborhoods up north like Rogers Park and Edgewater (Uptown). They get violent, but a lot safer than the west side and south side. Average black people in the city move to the south burbs for a safer environment. It's been happening since the 70s. There's safe black areas in the city, you just need bread to live there.
And if you do the history, you'll see those same suburbs become violent.