If A={x ∈ R:|x|<2} and B={x ∈ R:|x-2| ≥ 3} then

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1.Set Theory

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

A

$A \cup B=R-(2,5)$

B

$A \cap B=(-2,-1)$

C

$B-A=R-(-2,5)$

D

$A-B=[-1,2)$

(JEE MAIN-2020)

Solution

$A: x \in(-2,2) ; B: x \in(-\infty,-1] \cup[5, \infty)$

$\Rightarrow B-A=R-(-2,5)$

Standard 11

Mathematics

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