If $A \times B = \{(p, q), (p, r), (m, q), (m, r)\}$, find $A$ and $B$.
A$A = \{p, m\}$, $B = \{q, r\}$
B$A = \{q, r\}$, $B = \{p, m\}$
C$A = \{p, q, m, r\}$, $B = \phi$
D$A = \{p\}$, $B = \{m\}$
Answer & Solution
Correct answer: A. $A = \{p, m\}$, $B = \{q, r\}$
$A$ = set of first elements = $\{p, m\}$. $B$ = set of second elements = $\{q, r\}$. Verify: $\{p, m\} \times \{q, r\}$ produces exactly the four given pairs.
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