If the universal set is the set of integers from 1 to 20 inclusive, list the elements of each of the following sets: i. A = all even numbers ii. B = all prime numbers iii. C = all perfect squares iv. D = all perfect cubes v. E = all odd numbers

Even numbers are integers divisible by 2.

$$A = \{2, 4, 6, 8, 10, 12, 14, 16, 18, 20\}$$

The elements of set A are $\boxed{\text{\{2, 4, 6, 8, 10, 12, 14, 16, 18, 20\}}}$.

Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

$$B = \{2, 3, 5, 7, 11, 13, 17, 19\}$$

The elements of set B are $\boxed{\text{\{2, 3, 5, 7, 11, 13, 17, 19\}}}$.

Perfect squares are numbers that can be expressed as the square of an integer.
$1^2 = 1$
$2^2 = 4$
$3^2 = 9$
$4^2 = 16$
$5^2 = 25$ (This is greater than 20, so it is not in $\xi$)

$$C = \{1, 4, 9, 16\}$$

The elements of set C are $\boxed{\text{\{1, 4, 9, 16\}}}$.

Perfect cubes are numbers that can be expressed as the cube of an integer.
$1^3 = 1$
$2^3 = 8$
$3^3 = 27$ (This is greater than 20, so it is not in $\xi$)

$$D = \{1, 8\}$$

The elements of set D are $\boxed{\text{\{1, 8\}}}$.

Odd numbers are integers not divisible by 2.

$$E = \{1, 3, 5, 7, 9, 11, 13, 15, 17, 19\}$$

The elements of set E are $\boxed{\text{\{1, 3, 5, 7, 9, 11, 13, 15, 17, 19\}}}$.