명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 2.1절 · 1번

Sundstrom, Mathematical Reasoning · 2.1절 · 1번영어 원문

Suppose that Daisy says, “If it does not rain, then I will play golf.” Later in the day you come to know that it did rain but Daisy still played golf. Was Daisy's statement true or false? Support your conclusion.

정답·풀이 보기 (영어 원문)

The statement was true. When the hypothesis is false, the conditional statement is true.

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

For each of the following statements

(1) Write the statement in the form of an English sentence that does not use the symbols for quantifiers. - (2) Write the negation of the statement in a symbolic form that does not use the negation symbol. - (3) Write the negation of the statement in the form of an English sentence that does not use the symbols for quantifiers.

$\left( \forall x \in \mathbb{R} \right) \left( \tan ^2 x + 1 = \sec ^2 x \right)$ .

다 풀었으면 정답 확인

For each real number $x$ , $\tan ^2 x + 1 = \sec ^2 x$ . - $\left( \exists x \in \mathbb{R}\right) \left( \tan ^2 x + 1 \ne \sec ^2 x \right)$ . - There exists a real number $x$ such that $\tan ^2 x + 1 \ne \sec ^2 x$ .

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