Let $A = \{1, 2, 3, 4, 5, 6\}$ and $R = \{(x, y) : y = x + 1, x, y \in A\}$. The relation $R$ in roster form is:
A$\{(1,2), (2,3), (3,4), (4,5), (5,6)\}$
B$\{(1,2), (2,3), (3,4), (4,5), (5,6), (6,7)\}$
C$\{(2,1), (3,2), (4,3), (5,4), (6,5)\}$
D$\{(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)\}$
Answer & Solution
Correct answer: A. $\{(1,2), (2,3), (3,4), (4,5), (5,6)\}$
Pairs with $y = x + 1$ and both $x, y \in \{1,\ldots,6\}$: $(1,2),(2,3),(3,4),(4,5),(5,6)$. The pair $(6,7)$ is excluded because $7 \notin A$.
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