Solve the following equations:

Question:

If $A=\{x \in \mathbf{R}:|x|<2\}$ and $B=\{x \in \mathbf{R}:|x-2| \geq 3\}$

then :

  1. $\mathrm{A} \cup \mathrm{B}=\mathbf{R}-(2,5)$

  2. $\mathrm{A} \cap \mathrm{B}=(-2,-1)$

  3. $\mathrm{B}-\mathrm{A}=\mathbf{R}-(-2,5)$

  4. $\mathrm{A}-\mathrm{B}=[-1,2)$

Correct Option: , 3

Solution:

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