Given,
A = {x: x ∈ W, x < 2}, B = {x : x ∈N, 1 < x < 5} C = {3, 5}; W is the set of whole numbers
A = {x: x ∈ W, x < 2} = {0, 1}
B = {x : x ∈N, 1 < x < 5} = {2, 3, 4}
(i)
(B∩C) = {2, 3, 4} ∩ {3, 5}
(B∩C) = {3}
A × (B∩C) = {0, 1} × {3} = {(0, 3), (1, 3)}
As a result, the Cartesian product is {(0, 3), (1, 3)}
(ii)
(B∪C) = {2, 3, 4} ∪ {3, 5}
(B∪C) = {2, 3, 4, 5}
A × (B∪C) = {0, 1} × {2, 3, 4, 5} = {(0, 2), (0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (1, 4), (1, 5)}
As a result, the Cartesian product is {(0, 2), (0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (1, 4), (1, 5)}