Mathematics

Problem

Suppose

U = \mathbb{Z}^+

P = \{x \in \mathbb{Z} \mid 5 \le x \le 17\}

Q = \{x \in \mathbb{Z} \mid 10 \le x \le 20\}

, and

R = \{x \in \mathbb{Z} \mid 15 \le x \le 23\}

. a. List the sets

P

Q

, and

R

. b. Find:


<b>i</b> $P \cap Q$	<b>ii</b> $P \cap R$	<b>iii</b> $Q \cap R$
<b>iv</b> $P \cup Q$	<b>v</b> $P \cup R$	<b>vi</b> $Q \cup R$

c. Find:


<b>i</b> $P \cap Q \cap R$	<b>ii</b> $P \cup Q \cup R$
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