Statements: A ≥ B and B ≤ C. Conclusions: I. A > C.
II. A ≤ C. Which conclusion(s) follow?

From A ≥ B ≤ C no definite relation between A and C is fixed. Individually neither I nor II follows, but conclusions I (A > C) and II (A ≤ C) are complementary and together cover every case, so either I or II follows.