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

Question

$A - B = ( - 1,1)$

$B - A = R - ( - 3,1)$

$A \cap B = ( - 3, - 1]$

$A \cup B = R - [1,3)$

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