Solveeit Logo
Login

Question

Question: Let \(A = [ x : x \in R , | x | < 1 ]\) \(B = [ x : x \in R , | x - 1 | \geq 1 ]\) and ![](https:/...

Let A=[x:x∈R,∣x∣<1]A = [ x : x \in R , | x | < 1 ] B=[x:x∈R,∣x−1∣≥1]B = [ x : x \in R , | x - 1 | \geq 1 ] and

then the set D is

A

[x:1<x≤2][ x : 1 < x \leq 2 ]

B

C

[x:1≤x≤2][ x : 1 \leq x \leq 2 ]

D

None of these

Answer

Explanation

Solution

A=[x:x∈R,−1<x<1]A = [ x : x \in R , - 1 < x < 1 ] ∴\therefore A∪B=R−DA \cup B = R - D

Where D = [x:x∈R,1≤x<2][ x : x \in R , 1 \leq x < 2 ]