To determine the correct solution set, we need to understand the interval notation and relationships each set describes:
1. [tex]\(\{x \mid x > -1/3\}\)[/tex]:
- This set includes all real numbers greater than [tex]\(-1/3\)[/tex].
- In interval notation, this can be written as [tex]\(( -1/3, \infty )\)[/tex].
2. [tex]\(\{x \mid x < -3\}\)[/tex]:
- This set includes all real numbers less than [tex]\(-3\)[/tex].
- In interval notation, this can be written as [tex]\(( -\infty, -3)\)[/tex].
3. [tex]\(\{x \mid x < 3\}\)[/tex]:
- This set includes all real numbers less than [tex]\(3\)[/tex].
- In interval notation, this can be written as [tex]\(( -\infty, 3)\)[/tex].
4. [tex]\(\{x \mid x > -3\}\)[/tex]:
- This set includes all real numbers greater than [tex]\(-3\)[/tex].
- In interval notation, this can be written as [tex]\(( -3, \infty )\)[/tex].
We need to consider which of these solution sets correctly represents the condition we are evaluating. Based on the interval provided, which is [tex]\( \text{Interval.open}(-3, \infty) \)[/tex], the interval starts from [tex]\(-3\)[/tex], not inclusive, and extends to [tex]\(\infty\)[/tex].
The correct solution set that represents [tex]\( \text{Interval.open}(-3, \infty)\)[/tex] is:
[tex]\[
\{x \mid x > -3\}
\][/tex]
Thus, the correct choice is:
[tex]\[
\{x \mid x > -3\}
\][/tex]
