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 $n = 3k$ .

Without using the symbols for quantifiers, 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 for every integer $k$ , $n \ne 3k$ .

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 2.4절 · 6e번영어 원문

Assume that the universal set is $\mathbb{Z}$ . Consider the following sentence:

$\left( {\exists t \in \mathbb{Z}} \right)\left( {t \cdot x = 20} \right)$

.

.

What is the truth set of the open sentence $\left( {\exists t \in \mathbb{Z}} \right)\left( {t \cdot x = 20} \right)$ ?

다 풀었으면 정답 확인

$\left\{ -20, -10, -5, -4, -2, -1, 1, 2, 4, 5, 10, 20 \right\}$

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