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

Sundstrom, Mathematical Reasoning · 5.1절 · 5d번영어 원문

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

If $A = \left\{ {a,b} \right\}$ , then the set $\left\{ a \right\}$ is a subset of $\mathcal{P}( A )$ .

정답·풀이 보기 (영어 원문)

The statement is false. The set $\left\{ a \right\}$ is an element of $\mathcal{P} \left( A \right)$ .

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 5.1절 · 2a번영어 원문

Explain why

the set $\left\{ {a,b} \right\}$ is equal to the set $\left\{ {b,a} \right\}$ .

다 풀었으면 정답 확인

The two sets have precisely the same elements.