명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 1.1절 · 1c번

Sundstrom, Mathematical Reasoning · 1.1절 · 1c번영어 원문

Which of the following sentences are statements?

There exist integers $a$ , $b$ , and $c$ such that $a^2 = b^2 + c^2$ .

정답·풀이 보기 (영어 원문)

This is a statement.

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 2.1절영어 원문

For statements $P$ and $Q$ :

Use a truth table to determine if $P \to (P \vee Q)$ is a tautology, a contradiction, or neither.

다 풀었으면 정답 확인

| $P$ | $\neg P$ | $P \vee \neg P$ | $P \wedge \neg P$ | | --- | --- | --- | --- | | T | F | T | F | | F | T | T | F |

| $P$ | $Q$ | $P \vee Q$ | $P \to (P \vee Q)$ | | --- | --- | --- | --- | | T | T | T | T | | T | F | T | T | | F | T | T | T | | F | F | F | T |

$P \to (P \vee Q) \text{ is a tautology }$

# 명제와 조건계산자동 분류