명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 2.1절

Sundstrom, 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?

정답·풀이 보기 (영어 원문)

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

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 2.2절 · 1d번영어 원문

Write the converse and contrapositive of each of the following conditional statements.

If $a$ is an odd integer, then $3a$ is an odd integer.

다 풀었으면 정답 확인

Converse: If $3a$ is an odd integer, then $a$ is an odd integer. Contrapositive: If $3a$ is an even integer, then $a$ is an even integer.

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