There is a strong correlation between the nature of social class and social inequality.
The stratification of social classes not only depend on wealth, but also on factors like education and a person's occupation. This means that people in the same social class, besides being in the same range of wealth, also share the same lifestyle and similar social honors from others.
Social inequality occurs when the sole distribution of wealth is unequal among all of the members of a given society.
Wealth is a powerful factor that enables a person to achieve a better education and eventually escalate to upper social classes. This is where social inequality relates with the nature of social classes.