The 3-cell hint should read that they sum from 6 to 24 I think! But nonetheless an interesting challenge. Where to start?!

The equal sign and the sign of inequality are "large > small" if there are "=" and a difference if the harmony of the entering figure is equal to the sum area enclosed with the dotted line.
The printed top left-hand number by dotted lines is sum of numbers in joined squares. But sum of numbers is not printed at all.