명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 2.4절 · 6d번

Sundstrom, Mathematical Reasoning · 2.4절 · 6d번영어 원문

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

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

.

.

If $-2$ is substituted for $x$ , is the resulting sentence a statement? If it is a statement, is the statement true or false?

정답·풀이 보기 (영어 원문)

It is a true statement.

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 $n = 3k$ .

Write this definition in symbolic form using quantifiers by completing the following:

An integer

is a multiple of 3 provided that

다 풀었으면 정답 확인

An integer $n$ is a multiple of 3 provided that $\left( \exists k \in \mathbb{Z} \right) \left( n = 3k \right)$ .

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