명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 1.1절

Sundstrom, Mathematical Reasoning · 1.1절영어 원문

Answer each of the following questions.

Is the set of rational numbers closed under addition? Explain.

정답·풀이 보기 (영어 원문)

The set of rational numbers is closed under addition since $\dfrac{a}{b} + \dfrac{c}{d} = \dfrac{ad+bc}{bd}$ .

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 1.1절영어 원문

Answer each of the following questions.

Is the set of integers closed under division? Explain.

다 풀었으면 정답 확인

The set of integers is not closed under division. For example, $\dfrac{2}{3}$ is not an integer.

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