명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 2.4절

Sundstrom, Mathematical Reasoning · 2.4절영어 원문

An integer $n$ is a multiple of 3 provided that there exists an integer $k$ such that $n = 3k$ .

Use the symbolic form of the definition of a multiple of 3 to complete the following sentence: “An integer $n$ is not a multiple of 3 provided that ….”

정답·풀이 보기 (영어 원문)

An integer $n$ is not a multiple of 3 provided that $\left( \forall k \in \mathbb{Z} \right) \left( n \ne 3k \right)$ .

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 2.4절영어 원문

An integer $n$ is a multiple of 3 provided that there exists an integer $k$ such that $n = 3k$ .

Without using the symbols for quantifiers, complete the following sentence: “An integer $n$ is not a multiple of 3 provided that ….”

다 풀었으면 정답 확인

An integer $n$ is not a multiple of 3 provided that for every integer $k$ , $n \ne 3k$ .

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