Question

Please help fast as you can

Answer 1

The elements of the set C will be:

C = {-2, -1, 0, 1, 2, 3, 4, 5}

In other words,

`-2\le \:x<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2\le \:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:[-2,\:6)\end{bmatrix}`

The solution number line is also attached below.

Explanation:

C = 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,

`-2\le \:x<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2\le \:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:[-2,\:6)\end{bmatrix}`

The solution number line is also attached below.