To determine which of the given ranges an [tex]\( x \)[/tex] value falls into, let's carefully analyze each choice and verify the constraints they impose.
1. Choice A:
[tex]\[
-\frac{20}{3} \leq x \leq -\frac{11}{3}
\][/tex]
This range translates to:
[tex]\[
-6.67 \leq x \leq -3.67
\][/tex]
2. Choice B:
[tex]\[
-8 \leq x \leq -5
\][/tex]
This range is already in simplified form.
3. Choice C:
[tex]\[
-\frac{28}{3} \leq x \leq -\frac{19}{3}
\][/tex]
This range translates to:
[tex]\[
-9.33 \leq x \leq -6.33
\][/tex]
4. Choice D:
[tex]\[
15 \leq x \leq 24
\][/tex]
This range is already in simplified form.
Given that we need to identify the correct range for [tex]\( x \)[/tex] and assuming an [tex]\( x \)[/tex] value within the context and constraints provided, we find that [tex]\( x \)[/tex] falls into the range represented by:
Choice A: [tex]\(-\frac{20}{3} \leq x \leq -\frac{11}{3}\)[/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{A}
\][/tex]
