Question

write the following intervals in set builder form [-6,0]

Answer 1

Given set interval is [-6, 0] which mentions about all real numbers inclusively between -6 and 0.

Let A = [-6, 0].

Let x ∈ A. So it will be true that -6 ≤ x ≤ 0. We may include this in set builder notation.

When we write A in set builder form, make sure to represent the elements as included in the set of real numbers, because intervals include all real numbers mentioned in them.

Hence A in set builder form will be,

$\large\text{ A=\{x:x\in \mathbb{R},\ -6\leq x\leq 0\} }$