Write the set $\{ \frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7} \}$ in the set-builder form.

  • A
    $\{ x : x = \frac{n}{n+1}, n \in \mathbb{N}, 1 \le n \le 6 \}$
  • B
    $\{ x : x = \frac{n}{n+1}, n \in \mathbb{N}, 1 \le n < 6 \}$
  • C
    $\{ x : x = \frac{n}{n+1}, n \in \mathbb{N}, 1 < n \le 6 \}$
  • D
    $\{ x : x = \frac{n}{n-1}, n \in \mathbb{N}, 1 \le n \le 6 \}$

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