If `A xx B = {(p, q), (p, r), (m, q), (m, r)}`, Find `A` and `B`

Explanation

To find the sets \( A \) and \( B \) from the given Cartesian product \( A \times B = \{(p, q), (p, r), (m, q), (m, r)\} \), we can follow these steps:

### Step 1: Identify the first elements of the ordered pairs
The first elements of the ordered pairs in the set \( A \times B \) are \( p \) and \( m \).

### Step 2: Form the set \( A \)
Since the first elements belong to set \( A \) and there are no repetitions, we can form the set \( A \) as:
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