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Set Theorymedium
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Let Ik=[k,k+2]I_k = [k, k+2]Ik​=[k,k+2] be closed intervals of real numbers for each integer k∈Zk \in \mathbb{Z}k∈Z. Define the set S=⋃k∈Z(Ik∩Ik+1)S = \bigcup_{k \in \mathbb{Z}} (I_k \cap I_{k+1})S=⋃k∈Z​(Ik​∩Ik+1​). Which of the following describes the set SSS?