Chapter 3.5, Problem 1P

Write each set in roster form and in set-builder notation.

$M$ is the set of integers that are greater than $-5.$

To determine

To write: the set of integer that are greater than -5 in roaster and set-builder notation.

Answer to Problem 1P

The set in roaster and set-builder notation are $\left\{M:M\text{}\text{is}\text{an}\text{integer}>-5\right\}$ and $\left\{-4,-3,-2,-1,0,\mathrm{1...}\right\}$ respectively.

Explanation of Solution

Given:

The $M$ set of integer that is greater than -5

Calculation:

The set in the set-builder form is written as follows:

M is an integer means not rational number. Change the greater than condition in sign in set-builder form as shown below:

  $\left\{M:M\text{}\text{is}\text{an}\text{integer}>-5\right\}$

In roaster form write all the integers greater than -5 to infinity in bracket.

The set in the roaster form is written as follows:

  $\left\{-4,-3,-2,-1,0,\mathrm{1...}\right\}$