Question: For the following set \(S\), find int \(S\) (the set of interior points of \(S\), bd \(S\) (the set of the boundary points of \(S), S^{\prime}\) (the set of accumulation points of \(S\) ), cl \(S(\) the closure of \(S\) ) and determine whether \(S\) is open or closed.

1. \(S=\mathbf{Q}\), the set of rational numbers;
2. \(S=\left\{x \in \mathbf{R} ; x^{2}>4\right\}\)
3. \(S=(0,1) \cup\{-1,3\}\)
4. \(S=[0, \infty)\).

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