Answer: [tex]\left\{x | x \in \mathbb{R}, \ -5 \le x < 16\right\}[/tex]
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Explanation:
We have some number x such that x is a real number, so we write that as [tex]x \in \mathbb{R}[/tex] which is saying "x is in the real number set".
The portion [tex]-5 \le x < 16[/tex] is how x is restricted. This means x can be -5 or larger, but also must be smaller than 16.
This is from the interval notation [-5, 16). The square bracket means we include -5 as part of the interval, but we exclude 16 because of the curved parenthesis.
The curly braces surrounding everything indicates that we have a set of values.
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Side note:
If x is an integer, then we can get this roster set {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} showing all of the integers between -5 and 16, including -5 but excluding 16.
Though chances are your teacher will want you to stick to real numbers rather than just integers.
