명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 2.1절 · 2b번

Sundstrom, Mathematical Reasoning · 2.1절 · 2b번영어 원문

Suppose that $P$ and $Q$ are statements for which $P \to Q$ is true and for which $\neg Q$ is true. What conclusion (if any) can be made about the truth value of each of the following statements?

$P \wedge Q$

정답·풀이 보기 (영어 원문)

$P \wedge Q$ is false.

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 2.1절 · 9c번영어 원문

Let $P$ stand for “the integer $x$ is even,” and let $Q$ stand for “ $x^2$ is even.” Express the conditional statement $P \to Q$ in English using

The “only if” form of the conditional statement

다 풀었으면 정답 확인

The integer $x$ is even only if $x^2$ is even.

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