Chapter R.1, Problem 1DE

(a)

To determine

The roster notation of the set of all letters in the word “solve”.

Answer to Problem 1DE

Solution:

The roster notation of the set of all letters in the word “solve” is $\underset{\_}{\left\{s,o,l,v,e\right\}}$.

Explanation of Solution

Consider the provided word “solve”.

Use the roster notation to determine the set. Roster notation is the use of roster curly brackets to indicate a set. The elements of the set are represented in the curly bracket separated by comma.

Therefore, the roster notation of the set of all letters in the word “solve” is $\left\{s,o,l,v,e\right\}$.

Hence, the roster notation of the word “solve” is $\left\{s,o,l,v,e\right\}$.

(b)

To determine

The roster notation of the set of all even natural numbers.

Answer to Problem 1DE

Solution:

The roster notation of the set of all even natural numbers is $\underset{\_}{\left\{2,4,6,\dots \right\}}$.

Explanation of Solution

The even natural numbers can be represented as a series $2,4,6,8,\dots \infty$.

Use the roster notation to determine the set. Roster notation is the use of roster curly brackets to indicate a set. The elements of the set are represented in the bracket separated by comma.

Therefore, the roster notation of the set of all even natural numbers is $\left\{2,4,6,\dots \right\}$.