Let the sets A and B denote the domain and range respectively of the function f(x)=[x]−x1, where [x] denotes the smallest integer greater than or equal to x. Then among the statements
(S1):A∩B=(1,∞)−N and
(S2):A∪B=(1,∞)
Held on 6 Apr 2023 · Verified 6 Jul 2026.
Only (S2) is true
Only (S1) is true
Neither (S1) nor (S2) is true
Both (S1) and (S2) are true
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