명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 2.1절 · 4c번

Sundstrom, Mathematical Reasoning · 2.1절 · 4c번영어 원문

Suppose that $P$ and $Q$ are statements for which $Q$ is false and $\neg P \to Q$ is true (and it is not known if $R$ is true or false). What conclusion (if any) can be made about the truth value of each of the following statements?

$P \wedge R$

정답·풀이 보기 (영어 원문)

Statement $P$ is true but since we do not know if $R$ is true or false, we cannot tell if $P \wedge R$ is true or false.

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

Construct a truth table for each of the following statements:

$\neg P \vee \neg Q$

Do any of these statements have the same truth table?

다 풀었으면 정답 확인

| $P$ | $Q$ | $P \wedge \neg Q$ | $\neg \left( P \wedge Q \right)$ | $\neg P \wedge \neg Q$ | $\neg P \vee \neg Q$ | | --- | --- | --- | --- | --- | --- | | T | T | F | F | F | F | | T | F | T | T | F | T | | F | T | F | T | F | T | | F | F | F | T | T | T |

Statements (2) and (4) have the same truth table.

이 문제로 이어서 풀기

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