list all of the elements of set a if a = {x|x is an integer and -6 ≤ x <0} a. {-6, -5, -4, -3, -2, -1, 0} b. {-6, -5, -4, -3, -2, -1} c. {-5, -4, -3, -2, -1}
\(A=\{x|x\in\mathbb{Z}\ and\ -6\leq x \ \textless \ 0\}=\{-6;-5;-4;-3;-2;-1\}\)
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.