집합의 뜻과 포함 관계 연습문제 — Sundstrom, Mathematical Reasoning · 2.3절

Sundstrom, Mathematical Reasoning · 2.3절영어 원문

Let $A = \{ -4, -2, 0, 2, 4, 6, 8, \ldots \}$ . Use correct set notation to indicate which of the following integers are in the set $A$ and which are not in the set $A$ . For example, we could write $6 \in A$ and $5 \notin A$ .

$10 \qquad 22 \qquad 13 \qquad -3 \qquad 0 \qquad -12$

정답·풀이 보기 (영어 원문)

$10 \in A$ , $22 \in A$ , $13 \notin A$ , $-3 \notin A$ , $0 \in A$ , $-12 \notin A$

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 2.3절영어 원문

Each of the following sets is defined using the roster method.

$\begin{aligned}A & = \left\{1, 5, 9, 13, \ldots \right\} \\ B & = \left\{\ldots, -8, -6, -4, -2 , 0 \right\} \\ C & = \left\{\sqrt{2}, \left( \sqrt{2}\right)^3, \left( \sqrt{2}\right)^5, \ldots \,\right\} \\ D & = \left\{1, 3, 9, 27, \ldots \right\}\end{aligned}$

Use set builder notation to describe each set.

다 풀었으면 정답 확인

$\begin{aligned}A & = \left\{ 4n - 3 \mid n \in \mathbb{N} \right\} = \left\{ x \in \mathbb{N} \mid x = 4n - 3 \text{ for some natural number } n \right\}. \\ B & = \left\{ -2n \mid n \text{ is a nonnegative integer } \right\}. \\ C & = \left\{ \left( \sqrt{2} \right)^{2m - 1} \mid m \in \mathbb{N} \right\} = \left\{ \left( \sqrt{2} \right)^{n} \mid n \text{ is an odd natural number } \right\}. \\ D & = \left\{ 3^n \mid n \text{ is a nonnegative integer } \right\}\end{aligned}$

이 문제로 이어서 풀기

# 집합의 뜻과 포함 관계계산자동 분류