Suppose , , and…

Other · Multi-part · ISC · Mathematics · Sets and Functions · Sets, subsets and intervals

Problem

Suppose

U = \mathbb{Z}

C = \{y \in \mathbb{Z} \mid -4 \le y \le -1\}

, and

D = \{y \in \mathbb{Z} \mid -7 \le y < 0\}

. (a) List C and D. (b) Find

C \cap D

. (c) Find

C \cup D

. (d) Show that

n(C \cup D) = n(C) + n(D) - n(C \cap D)