wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Let A = { x : x ∈ R, |x| < 1}; B = {x : x ∈ R, |x-1| ≥ 1} and

A ∪ B = R - D, then the set D is


A

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B


A = {x: x ∈ R, -1 < x < 1}

B = {x: x ∈ R:x-1 ≤ -1 or x-1 ≥ 1}

= {x : x ∈ R:x ≤ 0 or x ≥ 2}

∴ A ∪ B = R - D, where D = {x : x ∈ R, 1 ≤ x < 2}.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Types of Sets
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon