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数理リテラシー 宿題 No. 6 (2020年6月22日出題, 6月29日13:30 Oh-o! Meijiに提出) 年 組 番 氏名 (解答は裏面も使用可)
問6
(1) A={1,2} のとき、B = 2A, C = 2B を求めよ。
(2) 各自然数 n に対して集合 An が与えられているとき、[
n∈N
An, \
n∈N
An は何か。定義を記せ。
任意の自然数 n に対して An:=
x∈R0< x≤ n1 とする。以下の (a), (b), (c)に答えよ。
(a) A1,A2,A3 を数直線上に表示せよ。
(b) [
n∈N
An を求めよ(今週は証明しなくて良い)。 (c) \
n∈N
An を求めよ(今週は証明しなくて良い)。
(3) 任意の集合 A, B に対して、A⊂B ⇒B∁ ⊂A∁ を証明せよ。
1
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