Sec 6.1: #26 For all positive integers i, let $S_i = \{x \in \mathbb{R} | 1 < x < 1 + \frac{1}{i}\} = (1, 1 + \frac{1}{i})$ a. $\bigcup_{i=1}^{4} S_i = $ b. $\bigcap_{i=1}^{4} S_i = $ c. Are $S_1, S_2, S_3,...$ mutually disjoint? d. $\bigcup_{i=1}^{n} S_i = $ e. $\bigcap_{i=1}^{n} S_i = $ f. $\bigcup_{i=1}^{\infty} S_i = $ g. $\bigcap_{i=1}^{\infty} S_i = $
Added by Vincent W.
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Using i = 1, we have S = {x ∈ ℝ | 1 < x < 2}. This means S is the set of all real numbers between 1 and 2, excluding 1 and 2. b. Show more…
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