집합의 연산 연습문제 — Sundstrom, Mathematical Reasoning · 5.3절 · 4a번

Sundstrom, Mathematical Reasoning · 5.3절 · 4a번영어 원문

Let $A$ , $B$ , and $C$ be subsets of some universal set $U$ .

Draw two general Venn diagrams for the sets $A$ , $B$ , and $C$ . On one, shade the region that represents $A - \left( {B \cup C} \right)$ , and on the other, shade the region that represents $\left( {A - B} \right) \cap \left( {A - C} \right)$ . Based on the Venn diagrams, make a conjecture about the relationship between the sets $A - \left( {B \cup C} \right)$ and $\left( {A - B} \right) \cap \left( {A - C} \right)$ .

정답·풀이 보기 (영어 원문)

$A - ( {B \cup C} ) = ( {A - B} ) \cap ( {A - C} )$ .

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 5.1절 · 6a번영어 원문

Use the definitions of set intersection, set union, and set difference to write useful negations of these definitions. That is, complete each of the following sentences

$x \notin A \cap B$ if and only if $\ldots$ .

다 풀었으면 정답 확인

$x \notin A \cap B$ if and only if $x \notin A$ or $x \notin B$ .

이 문제로 이어서 풀기

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