집합의 뜻과 포함 관계 연습문제 — Sundstrom, Mathematical Reasoning · 5.1절 · 5b번

Sundstrom, Mathematical Reasoning · 5.1절 · 5b번영어 원문

For each statement, write a brief, clear explanation of why the statement is true or why it is false.

The set $\left\{ { - 2,0,2} \right\}$ is equal to $\left\{ {x \in \mathbb{Z} \mid x\text{ is even and } x^2 \lt 5} \right\}$ .

정답·풀이 보기 (영어 원문)

$\left\{ { - 2,0,2} \right\} = \left\{ {x \in \mathbb{Z} \mid x\text{ is even and } x^2 \lt 5} \right\}$ since both sets have precisely the same elements.

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 5.1절 · 5c번영어 원문

For each statement, write a brief, clear explanation of why the statement is true or why it is false.

The empty set $\emptyset$ is a subset of $\left\{ 1 \right\}$ .

다 풀었으면 정답 확인

$\emptyset \subseteq \left\{ 1 \right\}$ since the following statement is true: For every $x \in U$ , if $x \in \emptyset$ , then $x \in \left\{ 1 \right\}$ .

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# 집합의 뜻과 포함 관계계산자동 분류