Suppose , , and…

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

Problem

Suppose

U = \mathbb{Z}^+

P = \{x \in \mathbb{Z}^+ \mid 9 \le x < 16\}

, and

Q = \{2, 4, 5, 11, 12, 15\}

. (a) List

P

. (b) Find

P \cap Q

. (c) Find

P \cup Q

. (d) Show that

n(P \cup Q) = n(P) + n(Q) - n(P \cap Q)