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  • If <img alt="A= \left ( x\epsilon \mathbf{\textbf{R}} :\left | x \right |<2\right )" src="https://entrancecorner.oncodecogs.com/gif.latex?A%3D%20%5Cleft%20%28%20x%5Cepsilon%20%5Cmathbf%7B%5Ctextbf%7BR%7D%7D%20%3A%5Cleft%20%7C%20x%20%5Cright%20%

If A= \left ( x\epsilon \mathbf{\textbf{R}} :\left | x \right |<2\right ) and B= \left ( x\epsilon \mathbf{\textbf{R}} :\left | x-2 \right |\geqslant 3\right ); then:
Option: 1 A-B=[-1,2)
Option: 2  B-A=\textbf{R}-(-2,5)
Option: 3 A\cup B=\textbf{R}-(2,5)
Option: 4  A\cap B=(-2,-1)
 

Answers (1)

best_answer

\begin{array}{l}{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)\}}\end{array}

Correct Option 2

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avinash.dongre

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