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Let the sets A and B denote the domain a...

Let the sets A and B denote the domain and range respectively of the function `f(x)=1/(sqrt([x]-x))`, where `[x]` denotes the smallest integer greater than or equal to x. Then among the statements
(S1): `A nn B=(1,oo)-NN` and
(S2):`AuuB=(1,oo)`

A

only (S2) is true

B

only (S1) is true

C

both (S1) and (S2) are true

D

neither (S1) nor (S2) is true

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