Hey everyone,

This set theory problem has me stumped. I am not even sure what exactly I am solving for.

These 3 Venn circles divide their union into 7 nonoverlapping regions. The number of elements in the 7 regions are 7 consecutive counting numbers. Using the same 7 consecutive counting numbers, find the differences between the maximum number of possible elements in circle A and the minimum number of possible elements in circle A.

Circle A being the top left circle in the three circle venn diagram.