Respuesta :
[tex]A=\{x|x\in\mathbb{Z}\ and\ -6\leq x \ \textless \ 0\}=\{-6;-5;-4;-3;-2;-1\}[/tex]
Answer:
Option b - {-6, -5,-4,-3,-2,-1}
Step-by-step explanation:
Given : Set [tex]a = {x|x\text{ is an integer and } -6\leq x <0}[/tex]
To find : List all of the elements of set a ?
Solution :
In Set [tex]a = {x|x\text{ is an integer and } -6\leq x <0}[/tex]
[tex]-6\leq x[/tex] there is an equal sign so -6 includes in the set.
[tex]x<0[/tex] there is no equal sign so 0 is not include in the set.
From -6 to 0 the number lies in between are -5,-4,-3,-2,-1.
So, The elements of set [tex]a = {x|x\text{ is an integer and } -6\leq x <0}[/tex] are {-6, -5,-4,-3,-2,-1}
Therefore, Option b is correct.