Question:
If $\mathrm{A}=\{x \in \mathrm{R}:|x|<2\}$ and
$\mathrm{B}=\{x \in \mathrm{R}:|x-2| \geq 3\} ;$ then $:$
Correct Option: , 2
Solution:
$A=\{x: x \in(-2,2)\}$
$B=\{x: x \in(-\infty,-1] \cup[5, \infty)\}$
$A \cap B=\{x: x \in(-2,-1]\}$
$A \cup B=\{x: x \in(-\infty, 2) \cup[5, \infty)\}$
$A-B=\{x: x \in(-1,2)\}$
$B-A=\{x: x \in(-\infty,-2] \cup[5, \infty)\}$
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