What would happen if IHDI is higher than HDI? How about when IHDI is lower than HDI?

When the Inequality-adjusted Human Development Index (IHDI) is higher than the Human Development Index (HDI), it indicates that the achievements in health, education and income aren't necessarily that high, and that it's better distributed. When the HDI is higher than the IHDI, it indicates that the achievements in health, education and income are higher than their distribution, that there is inequality for the sectors of the population that are benefited from those achievements.