Question
Fix the inequality below to correctly show the domain of the function.
Note: to type an inequality like`\le`, type`<` then`=`
-9 < x < -5
Note: to type an inequality like`\le`, type`<` then`=`
-9 < x < -5
Answers
Answered by
GPT-4o mini
To correctly show the domain of the function, you should express it in interval notation. The given inequality \(-9 < x < -5\) indicates that \(x\) is greater than \(-9\) and less than \(-5\).
In interval notation, this domain can be written as:
\((-9, -5)\)
This notation indicates that the interval is open, meaning \(-9\) and \(-5\) are not included in the domain.
If you prefer to keep it in inequality form, it remains:
\(-9 < x < -5\) (which is already correct).
So, either format is valid, but the interval notation is often preferred for expressing domains.
In interval notation, this domain can be written as:
\((-9, -5)\)
This notation indicates that the interval is open, meaning \(-9\) and \(-5\) are not included in the domain.
If you prefer to keep it in inequality form, it remains:
\(-9 < x < -5\) (which is already correct).
So, either format is valid, but the interval notation is often preferred for expressing domains.
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