집합의 뜻과 포함 관계 연습문제 — Sundstrom, Mathematical Reasoning · 5.1절 · 1c번

Sundstrom, Mathematical Reasoning · 5.1절 · 1c번영어 원문

Assume the universal set is the set of real numbers. Let

$\begin{aligned}A & = \left\{ { - 3, - 2,2,3} \right\}\!, & B & = \left\{ {\left. {x \in \mathbb{R}} \right|x^2 = 4\text{ or } x^2 = 9} \right\}\!, \\ C & = \left\{ {x \in \mathbb{R}\left. \right|x^2 + 2 = 0} \right\}\!, & D & = \left\{ {x \in \mathbb{R}\left. \right|x > 0} \right\}\!\end{aligned}$

. Respond to each of the following questions. In each case, explain your answer.

Is the set $C$ equal to the set $D$ ?

정답·풀이 보기 (영어 원문)

$C \ne D$

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

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

$\begin{aligned}A & = \left\{ { - 3, - 2,2,3} \right\}\!, & B & = \left\{ {x \in \mathbb{Z}\left. \right|x^2 \leq 9} \right\}\!, \\ C & = \left\{ {\left. {x \in \mathbb{Z}} \right|x \geq - 3} \right\}\!, & D & = \left\{ {1,2,3,4} \right\}\!\end{aligned}$

. In each of the following, fill in the blank with one or more of the symbols $\subset$ , $\subseteq$ , $\not \subseteq$ , $=$ , $\ne$ , $\in$ , $\text{ or } \notin$ 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.

$\left\{ 3, 2, 1 \right\}$ _____ $D$

다 풀었으면 정답 확인

$\left\{ 3, 2, 1 \right\} \subset, \subseteq, \ne D$

이 문제로 이어서 풀기

# 집합의 뜻과 포함 관계계산자동 분류