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

Sundstrom, Mathematical Reasoning · 5.1절영어 원문

Let the universal set be $U = \left\{ {1,2,3,4,5,6} \right\}$ , and let

$A = \left\{ {1,2,4} \right\}\!, B = \left\{ {1,2,3,5} \right\}\!, C = \left\{ {\left. {x \in U} \right|x^2 \leq 2} \right\}\!$

.

In each of the following, fill in the blank with one or more of the symbols $\subset, \\ \subseteq, =, \ne, \in ,\text{ or } \notin$ 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.

$\emptyset$ _____ $A$

정답·풀이 보기 (영어 원문)

$\subset, \subseteq, \ne$

한 번 더 — 비슷한 문제Sundstrom, 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 $D$ ?

다 풀었으면 정답 확인

$C \ne D$

이 문제로 이어서 풀기

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