a) E = {x € N | x <_ 2} = {0, 1, 2}
F = {y € Z* | |y| <_ 1} = {-1, 1}
E × F = {0, 1, 2} × {-1, 1} = {(0, -1), (0, 1), (1, -1), (1, 1), (2, -1), (2, 1)}.
F × E = {-1, 1} × {0, 1, 2} = {(-1, 0), (-1, 1), (-1, 2), (1, 0), (1, 1), (1, 2)}.
b) E = {x € Z | |x| < 3} = {-2, -1, 0, 1, 2}
F = {y € N* | y <_ 2} = {1, 2}
E × F = {-2, -1, 0, 1, 2} × {1, 2} = {(-2, 1), (-2, 2), (-1, 1), (-1, 2), (0, 1), (0, 2), (1, 1), (1, 2), (2, 1), (2, 2)}.
F × E = {1, 2} × {-2, -1, 0, 1, 2} = {(1, -2), (1, -1), (1, 0), (1, 1), (1, 2), (2, -2), (2, -1), (2, 0), (2, 1), (2, 2)}.