Karen Morrison and Nick Hamshaw Solutions for Exercise 10: Exercise 9.10

Express the following in set builder notation.

$\left\{2,4,6,8,10,12,14,16,18,20\right\}$

Express the following in set builder notation.

$\left\{1,2,3,4,6,9,12,18,36\right\}$

List the members of the following set

$\left\{x:x \text{is an integer}, 40<x<50\right\}$

List the members of the following set

$\left\{x:x \text{is a regular polygon and} x \text{has no more than six sides}\right\}$

List the members of the following set

$\left\{x:x \text{is a multiple of} 3,16<x<32\right\}$

Describe the set in words and say why it's not possible to list all the members of each set.

$\mathrm{A}=\left\{\mathrm{x},\mathrm{y}:\mathrm{y}=2\mathrm{x}+4\right\}$

Describe the set in words and say why it's not possible to list all the members of each set.

$B=\left\{x:x^3 \text{is negative}\right\}$

If $A=\left\{\mathrm{x}:x \text{is a multiple of three}\right\} \text{and} B=\left\{y:y \text{is a multiple of five}\right\},$ express $\mathrm{A}\cap \mathrm{B}$ in set builder notation.