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Let the sets A and B denote the domain and range respectively of the function f(x) = x – ] x [ 1 , 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,  )

1. Only (S2) is true
2. Only (S1) is true
3. Neither (S1) nor (S2) is true
4. Both (S1) and (S2) are true

Correct answer: Neither (S1) nor (S2) is true

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