Verified Answer :

\(A=\{x|x\in\mathbb{Z}\ and\ -6\leq x \ \textless \ 0\}=\{-6;-5;-4;-3;-2;-1\}\)

Answer:

Option b - {-6, -5,-4,-3,-2,-1}            

Step-by-step explanation:

Given : Set  \(a = {x|x\text{ is an integer and } -6\leq x <0}\)

To find : List all of the elements of set a ?

Solution :

In Set  \(a = {x|x\text{ is an integer and } -6\leq x <0}\)

\(-6\leq x\) there is an equal sign so -6 includes in the set.

\(x<0\) 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 \(a = {x|x\text{ is an integer and } -6\leq x <0}\) are {-6, -5,-4,-3,-2,-1}

Therefore, Option b is correct.