Let $A = \{x : x \in R, |x| < 1\};$ $B = \{x : x \in R, |x - 1| \ge 1\}$ and $A \cup B = R - D,$ 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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