Let $A = \{ x: x \in R, |x| < 1 \}$ and $B = \{ x: x \in R, |x - 1| \ge 1 \}$. If $A \cup B = R - D$,then the set $D$ is:

  • A
    $\{ x: 1 < x \le 2 \}$
  • B
    $\{ x: 1 \le x < 2 \}$
  • C
    $\{ x: 1 \le x \le 2 \}$
  • D
    None of these

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