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

To solve the problem, we need to find the Cartesian products \( P \times Q \), \( Q \times P \), \( P \times P \), and \( Q \times Q \) for the sets \( P = \{a, e, i\} \) and \( Q = \{1, 3, 5\} \).

### Step 1: Find \( P \times Q \)

The Cartesian product \( P \times Q \) consists of all ordered pairs where the first element is from \( P \) and the second element is from \( Q \).

\[
P \times Q = \{(a, 1), (a, 3), (a, 5), (e, 1), (e, 3), (e, 5), (i, 1), (i, 3), (i, 5)\}
...