명제와 조건 연습문제 — Sundstrom, Mathematical Reasoning · 2.3절

Sundstrom, Mathematical Reasoning · 2.3절영어 원문

Let $P( x )$ be the predicate “ $x^2 \leq 9$ .”

If the universal set is $\mathbb{R}$ , describe the truth set of $P(x)$ using English and write the truth set of $P( x )$ using set builder notation.

정답·풀이 보기 (영어 원문)

The truth set is the set of all real numbers whose square is less than or equal to 9. The truth set is $\left\{ {\left. {x \in \mathbb{R} } \right| x^2 \leq 9} \right\} = \left\{ \left. x \in \mathbb{R} \right| -3 \leq x \leq 3 \right\}$ .

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 2.3절영어 원문

Let $P( x )$ be the predicate “ $x^2 \leq 9$ .”

If the universal set is $\mathbb{Z}$ , then what is the truth set of $P( x )$ ? Describe this set using English and then use the roster method to specify all the elements of this truth set.

다 풀었으면 정답 확인

The truth set is the set of all integers whose square is less than or equal to 9. The truth set is $\left\{ { - 3, - 2, - 1, 0, 1, 2, 3} \right\}$ .

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