집합의 연산 연습문제 — Sundstrom, Mathematical Reasoning · 5.1절 · 7a번

Sundstrom, Mathematical Reasoning · 5.1절 · 7a번영어 원문

Let $U = \left\{ {1,2,3,4,5,6,7,8,9,10} \right\}$ , and let

$\begin{aligned}A & = \left\{ {3,4,5,6,7} \right\}\!, & B & = \left\{ {1,5,7,9} \right\}\!, \\ C & = \left\{ {3,6,9} \right\}\!, & D & = \left\{ {2,4,6,8} \right\}\!\end{aligned}$

. Use the roster method to list all of the elements of each of the following sets.

$A \cap B$

정답·풀이 보기 (영어 원문)

$A \cap B = \left\{ 5, 7 \right\}$

한 번 더 — 비슷한 문제Sundstrom, Mathematical Reasoning · 5.3절영어 원문

Draw two general Venn diagrams for the sets $A$ , $B$ , and $C$ . On one, shade the region that represents $\left( {A \cup B} \right) - C$ , and on the other, shade the region that represents $\left( {A - C} \right) \cup \left( {B - C} \right)$ . Explain carefully how you determined these regions and why they indicate that $\left( {A \cup B} \right) - C = \left( {A - C} \right) \cup \left( {B - C} \right)$ .

다 풀었으면 정답 확인

Using our standard configuration for a Venn diagram with three sets, regions 1, 2, and 3 are the regions that are shaded for both $\left( {A \cup B} \right) - C$ and $\left( {A - C} \right) \cup \left( {B - C} \right)$ .

이 문제로 이어서 풀기

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