Closed sets A and B refer to two subsets of a larger set that are closed under a given operation. This means that when the operation is applied to elements within the subsets, the resulting element is still within the subset.
For A+B to follow suit means that the operation performed on elements within set A will also hold true for elements within set B. In other words, the operation is consistent between the two subsets.
To determine if A+B follows suit, you can perform the operation on a few elements from each set and see if the resulting elements are still within their respective sets. If they are, then A+B follows suit.
When A+B follows suit, it indicates that the operation is consistent and predictable between the two subsets. This can be useful in mathematical or scientific calculations and proofs.
In some cases, there may be exceptions to A+B following suit. For example, if the operation is not defined for certain elements in one of the sets, then A+B may not follow suit. It is important to carefully consider the properties of the operation and the elements within each set to determine if there are any exceptions.