Find the cardinality of the following sets. a. fx 2 Z W jxj 10g. b. fx 2 Z W 1 x 2 2g

Chapter 10, Problem 10.3

(choose chapter or problem)

Find the cardinality of the following sets.

a. \(\{x \in \mathbb{Z}:|x| \leq 10\}\).

b. \(\left\{x \in \mathbb{Z}: 1 \leq x^{2} \leq 2\right\}\).

c. \(\{x \in \mathbb{Z}: x \in \emptyset\}\).

d. \(\{x \in \mathbb{Z}: \emptyset \in x\}\).

e. \(\{x \in \mathbb{Z}: \emptyset \subseteq\{x\}\}\)

f. \(2^{2^{\{1,2,3\}}}\)

g. \(\left\{x \in 2^{\{1,2,3,4\}}:|x|=1\right\}\).

h. \(\{\{1,2\},\{3,4,5\}\}\).