Answer:
The elements of the set C will be:
C = {-2, -1, 0, 1, 2, 3, 4, 5}
In other words,
[tex]-2\le \:x<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2\le \:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:[-2,\:6)\end{bmatrix}[/tex]
The solution number line is also attached below.
Step-by-step explanation:
C = {x ∈ Z | such that -2 ≤ x < 6 }
It is clear that the x ∈ Z, meaning the x belongs to the set of integers Z.
It is given that -2 ≤ x < 6.
so x must be greater than or equal to -2 and less than 6.
Therefore, the elements of the set C will be:
C = {-2, -1, 0, 1, 2, 3, 4, 5}
In other words,
[tex]-2\le \:x<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2\le \:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:[-2,\:6)\end{bmatrix}[/tex]
The solution number line is also attached below.
