Let A = { x : x ∈ R, |x| < 1}; B = {x : x ∈ R, |x-1| ≥ 1} and
A ∪ B = R - D, then the set D is
None of these
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}.