Option D:
The set is {-2, -1, 0, 1, 2, 3, 4}.
Solution:
Given set:
[tex]\{x \in Z:-2 \leq x \leq 4\}[/tex]
Z means integer values.
Integer means set of positive and negative values including zero.
[tex]-2 \leq x \leq 4[/tex]
This means x lies between -2 and 4.
- If x strictly less than -2 and greater than 4 means you don't have to include -2 and 4.
- But here x less than or equal to -2 and greater than or equal to 4, so you have to include -2 and 4.
The integers are -2, -1, 0, 1, 2, 3 and 4.
So, x belongs to the set {-2, -1, 0, 1, 2, 3, 4}
Hence the given set is defined by the set {-2, -1, 0, 1, 2, 3, 4}.
Option D is the correct answer.
