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집합의 뜻과 포함 관계

먼저 혼자 풀어 보고, 풀이로 확인한 다음, 아래 「한 번 더」 문제로 이어서 연습하세요.

Sundstrom, Mathematical Reasoning · 5.1절 · 3m번영어 원문

Assume that the universal set is the set of integers. Let

A={−3,−2,2,3} ⁣,B={x∈Z∣x2≤9} ⁣,C={x∈Z∣x≥−3} ⁣,D={1,2,3,4} ⁣\begin{aligned}A & = \left\{ { - 3, - 2,2,3} \right\}\!, & B & = \left\{ {x \in \mathbb{Z}\left. \right|x^2 \leq 9} \right\}\!, \\ C & = \left\{ {\left. {x \in \mathbb{Z}} \right|x \geq - 3} \right\}\!, & D & = \left\{ {1,2,3,4} \right\}\!\end{aligned}

. In each of the following, fill in the blank with one or more of the symbols ⊂\subset , ⊆\subseteq , ⊈\not \subseteq, == , ≠\ne, ∈\in,  or ∉\text{ or } \notin so that the resulting statement is true. For each blank, include all symbols that result in a true statement. If none of these symbols makes a true statement, write nothing in the blank.

card(A)\mathbf{card}(A)_____card(B)\mathbf{card}(B)

정답·풀이 보기 (영어 원문)

card(A)≠card(B)\mathbf{card}(A) \ne \mathbf{card}(B)

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 5.1절 · 3b번영어 원문

Assume that the universal set is the set of integers. Let

A={−3,−2,2,3} ⁣,B={x∈Z∣x2≤9} ⁣,C={x∈Z∣x≥−3} ⁣,D={1,2,3,4} ⁣\begin{aligned}A & = \left\{ { - 3, - 2,2,3} \right\}\!, & B & = \left\{ {x \in \mathbb{Z}\left. \right|x^2 \leq 9} \right\}\!, \\ C & = \left\{ {\left. {x \in \mathbb{Z}} \right|x \geq - 3} \right\}\!, & D & = \left\{ {1,2,3,4} \right\}\!\end{aligned}

. In each of the following, fill in the blank with one or more of the symbols ⊂\subset , ⊆\subseteq , ⊈\not \subseteq, == , ≠\ne, ∈\in,  or ∉\text{ or } \notin so that the resulting statement is true. For each blank, include all symbols that result in a true statement. If none of these symbols makes a true statement, write nothing in the blank.

5_____CC

다 풀었으면 정답 확인

5∈C5 \in C

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