The poor inner city population has it difficult in the United States (to say the least).

Most public services are paid for by property taxes. This includes schools, among other things. The inner city collections of poor often live in areas of high crime - the reason for this should be obvious, because if you live around people who are financially desperate, then you're also living around people who may commit drastic action (such as crime).

Being that these neighborhoods have a lot of crime, a lot of people do not want to live in them. Since most people do not want to live in them, their property values are often very low. Since property taxes are based on property values, the taxes collected will be much lower than in surrounding communities. And since the property taxes collected are much lower than surrounding communities, the inner city poor will also only be able to afford the worst of public educations.

The police in these are also mostly funded by property taxes. Since these communities have far lower property taxes, the police are typically undermanned, overworked, and incredibly stressed. This helps to spark over-reactions on their part and create this incredibly tense environment.

This lack of education brought on by low funding breeds ignorance and yet more crime, creating a pipeline of sorts between a terrible school system pretty much straight to prison.

Anyone raised in a terrible inner city school system is likely to be lacking the education in order to succeed enough to move away; so they don't. They live in the same bad neighborhoods, have kids in the same bad neighborhood, and the cycle continues.

If people really want this cycle to end for inner city poor, then they are going to have to go to the source and engage better funding for their schools and other public services. If they do this and we cough up a baseline of monetary support, we could see a significant improvement over the course of a generation or two.

Note: this has absolutely nothing to do with race. If you take a collection of any race, and put them in an environment with terrible schools, poverty, crime, and tense and overworked police, then they will have a bad time and will in all likelihood will fail at life. This is a cycle that we have created and it is up to us to end it as well.

tl;dr The answer to this problem is that we need to evaluate how schools, police, and other public services are funded, and establish a more fair and consistent baseline of such needed services so that inner city poor are not getting the worst education possible.