Suppose , , and…

MATHEMATICS · Multi-part · CBSE · Mathematics · Sets · Sets

Problem

Suppose

U = \mathbb{Z}

R = \{x \in \mathbb{Z} \mid -2 \le x \le 4\}

, and

S = \{x \in \mathbb{Z} \mid 0 \le x < 7\}

. (1) List

R

and

S

. (2) Find

R \cap S

. (3) Find

R \cup S

. (4) Show that

n(R \cup S) = n(R) + n(S) - n(R \cap S)