The relative complement of set A in set B, written as \( B \setminus A \), represents all elements that are in set B but not in set A. It essentially removes the overlap of A from B. This operation is also called the "difference of sets."
\[ B \setminus A = A' \cap B \]
This means the elements that are in B and not in A are found by intersecting B with the complement of A.
Let:
\[ A = \{2, 4, 6\}, \quad B = \{2, 3, 5, 6, 8\} \] \[ B \setminus A = \{3, 5, 8\} \]
These are the elements found in B that are not in A.