Ononot — Let Ik = [k, k+2] be closed intervals of real numbers for ea

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Set Theorymedium

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Let $I_k = [k, k+2]$ be closed intervals of real numbers for each integer $k \in \mathbb{Z}$ . Define the set $S = \bigcup_{k \in \mathbb{Z}} (I_k \cap I_{k+1})$ . Which of the following describes the set $S$ ?