Let $A = \{ x \in R : | x + 1 | < 2 \}$ and $B = \{ x \in R : | x - 1 | \geq 2 \}$. Then which one of the following statements is $NOT$ true?

  • A
    $A - B = (-1, 1)$
  • B
    $B - A = R - (-3, 1)$
  • C
    $A \cap B = (-3, -1]$
  • D
    $A \cup B = R - [1, 3)$

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