Write each set in the indicated form.If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set.00...(a) Set-builder form: x R…

Question

Write each set in the indicated form.If you need to use "..." to indicate a pattern, make sure to list at least four elements of the set.00...(a) Set-builder form: x is an integer and x >-4Roster form:(b) Roster form: (-6, -5, -4,-3, -2, -1}Х5?Set-builder form: (Choose one)

Answer 1

The given set is

`\lbrace x:x\text{ is an integer and x >-4\textbraceright}`

To write it in the Roster Form, we will list the elements

`\lbrace-3,-2,-1,0,1,2,.....\rbrace`

The given st is

`\lbrace-6,-5,-4,-3,-2,-1\rbrace`

We will write it in the set-builder form

This means we need to write it in the form of inequality

Since the numbers are from -6 to -1, then

`\begin{gathered} \lbrace x:x\text{ is an integer and -6}\leq x\leq-1\rbrace \\ \lbrace x:x\text{ is an integer and -7 < x < 0\textbraceright} \end{gathered}`

The answers are

a) {-3, -2, -1, 0, 1, 2, ..........}

b)

`\lbrace x:x\text{ is an integer and -6}\leq x\leq-1\rbrace`

The 3rd choice