명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 2.4절 · 2a번

Sundstrom, Mathematical Reasoning · 2.4절 · 2a번영어 원문

For each of the following, use a counterexample to show that the statement is false. Then write the negation of the statement in English, without using symbols for quantifiers.

$\left( {\forall m \in \mathbb{Z}} \right)\left( {m^2 \text{ is even } } \right)$ .

정답·풀이 보기 (영어 원문)

$m = 1$ is a counterexample. The negation is: There exists a natural number $m$ such that $m^2$ is not even or there exists a natural number $m$ such that $m^2$ is odd.

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 2.3절 · 4a번영어 원문

Use the roster method to specify the truth set for each of the following open sentences. The universal set for each open sentence is the set of integers $\mathbb{Z}$ .

$n + 7 = 4$ .

다 풀었으면 정답 확인

$\{-3 \}$

이 문제로 이어서 풀기

# 명제와 조건증명·논술자동 분류