approach is not the same as resolve at the beginning of the sentence you have "address this problem" - this means to deal with a matter or problem ("in order to address the problem of climate change, many countries are passing laws restricting the use of coal in factories). So the person is not asking the person to RESOLVE a problem (that is come up with a solution). INstead the person is saying "you should DEAL WITH IT" in the way I suggested. So really "address a problem" and "approach a problem" are much closer in meaning than approach and resolve. Dealing with a problem IS NOT the same as coming up with a solution. here are some examples from the Cambridge Learners Dictionary https://dictionary.cambridge.org/dictionary/english/approach We really ought to approach the problem in a more scientific manner. He approached the task in a very mature and systematic way. It's difficult to know how to approach such a complex situation. The new boss approaches staff discipline much more strictly. My two children have very different ways of approaching things.

In this context resolve and approach are interchangeable, and your use is basically correct, but "solve" would be a better word choice than resolve. Also, note that in this context "approach" focuses more on the steps that will be taken to solve the problem and not the resolution itself.