The given set is
[tex]\lbrace x:x\text{ is an integer and x >-4\textbraceright}[/tex]
To write it in the Roster Form, we will list the elements
[tex]\lbrace-3,-2,-1,0,1,2,.....\rbrace[/tex]
The given st is
[tex]\lbrace-6,-5,-4,-3,-2,-1\rbrace[/tex]
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
[tex]\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}[/tex]
The answers are
a) {-3, -2, -1, 0, 1, 2, ..........}
b)
[tex]\lbrace x:x\text{ is an integer and -6}\leq x\leq-1\rbrace[/tex]
The 3rd choice
