If P = {a, e, i} and Q = {1, 3, 5}, then write `P xx Q, Q xx P, P xx P` and `Q xx Q`. Check whether `P xx Q` and `Q xx P` are equal.

Explanation

Given P = {a, e, i} and {Q = {1, 3, 5}
`:. P xx Q = {(a, 1), (a, 3), (a, 5), (e, 1), (e, 3), (e, 5), (i, 1), (i, e), (i, 5)}`
`Q xx P = {(1, a), (1, e), (1, i), (3, a), (3, e), (3, i), (5, a), (5, a), (5, e), (5, i)}`
`P xx P = {(a,a), (a, e), (a, i), (e, i), (e, a), (e, e), (e, i), (i, a), (i, e), (i, i)}`
`Q xx Q = {(1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5)}`
Clearly, `P xx Q != Q xx P`