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

Sundstrom, 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.

정답·풀이 보기 (영어 원문)

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

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 2.3절 · 3c번영어 원문

Let $A = \left\{ x \in \mathbb{R} \mid x\left( {x + 2} \right)^2 \left( x - \frac{3}{2} \right) = 0 \right\}$ . Which of the following sets are equal to the set $A$ and which are subsets of $A$ ?

$\left\{ { - 2, - 2,0,\dfrac{3}{2}} \right\}$

다 풀었으면 정답 확인

This set is equal to the given set.

이 문제로 이어서 풀기

# 집합의 뜻과 포함 관계계산자동 분류