Income inequality and poverty are separate issues. For many people this is obvious. But there are numerous Christians who believe that income inequality is an important issue because they assume it is a proxy for poverty. If this were true, Christians would indeed need to be concerned about income inequality because concern about poverty is a foundational principle of any Christian view of economics.
Fortunately, there is neither a necessary connection nor correlation. A country could have absolutely no poverty at all and have extremely high-income inequality. The reason is because income inequality (measured by the Gini coefficient), measures relative, not absolute, income.
But you don’t have to take my word for it. Harry Frankfurt, a philosopher who has written a book on inequality, has a guest post at Forbes in which he makes the same point: income inequality and poverty aren’t the same thing.