Let A = {1, 2, 3}, B = {w, x, y, z}, and C = {4, 5,

Question:

Let A = {1, 2, 3}, B = {w, x, y, z}, and C = {4, 5, 6}. Define the relations R1 ⊆ A × B, R2 ⊆ B × C, and R3 ⊆ B × C, where R1 = {(1, w), (3, w), (2, x), (1, y)}, R2 = {(w, 5), (x, 6), (y, 4), (y, 6)}, and R3 = {(w, 4), (w, 5), (y, 5)}.
(a) Determine R1 o (R2 ⋃ R3) and (R1 o R2) ⋃ (R1 o R3).
(b) Determine R1 o (R2 ⋂ R3) and (R1 o R2) ⋂ (R1 o R3).