Final answer:
All listed pairs of sets - BT and H, SY and LY, and BT and YH - are disjoint because they have mutually exclusive characteristics; no piece can belong to both sets within each pair at the same time.
Step-by-step explanation:
Two sets are considered disjoint if they have no elements in common. To determine which pairs of sets are disjoint, we need to check if there is any overlap between the elements of each pair.
- a) BT and H: The set of blue triangular pieces (BT) and the set of hexagonal pieces (H) are disjoint because no piece can be both triangular and hexagonal at the same time.
- b) SY and LY: The set of small yellow pieces (SY) and the set of large yellow pieces (LY) are disjoint because no piece can be both small and large at the same time.
- c) BT and YH: The set of blue triangular pieces (BT) and the set of yellow hexagonal pieces (YH) are disjoint. This is because a piece cannot be both blue and yellow and also cannot be both triangular and hexagonal.
Therefore, the correct answer is d) All of the above, meaning that all listed pairs of sets are disjoint.