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? (1) $A - B = (-1,1)$ (2) $B - A = R - (-3,1)$ (3) $A \cap B = (-3,-1]$ (4) $A \cup B = R - [1,3)$
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?\\
(1) $A - B = (-1,1)$\\
(2) $B - A = R - (-3,1)$\\
(3) $A \cap B = (-3,-1]$\\
(4) $A \cup B = R - [1,3)$