명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 1.1절 · 3a번

Sundstrom, Mathematical Reasoning · 1.1절 · 3a번영어 원문

Determine whether each of the following conditional statements is true or false.

If $10 \lt 7$ , then $3 = 4$ .

정답·풀이 보기 (영어 원문)

This statement is true.

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

Write the negation of the statement

$\left( {\forall x \in \mathbb{Z}} \right)\left( {\forall y \in \mathbb{Z}} \right)\left( {x + y = 0} \right)$

in symbolic form and as a sentence written in English.

다 풀었으면 정답 확인

$\left( {\exists x \in \mathbb{Z}} \right)\left( {\exists y \in \mathbb{Z}} \right)\left( {x + y \ne 0} \right)$ .

There exist integers $x$ and $y$ such that $x + y \ne 0$ .

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