Question
Complete the statement so that it represents the solution to the inequality. You can use the table to help you.
x= 7x=7.25 (boundary)x= 812 + 4x < 41TrueFalseFalse
x
≤
<
>
≥
x= 7x=7.25 (boundary)x= 812 + 4x < 41TrueFalseFalse
x
≤
<
>
≥
Answers
GPT-4o mini
To complete the statement based on the given information, we can analyze the inequality related to the boundary points provided (x = 7, x = 7.25, and x = 812 + 4).
It seems like the main part of the problem is to find the correct inequality symbol that relates `x` to the boundary conditions. Since the values given (specifically "7" and "7.25") seem to suggest a sense of upper bounds — and the fact that the table indicates `True` and `False` may imply these are limits of validity — we want to identify which inequality holds.
Given that:
- \( x < 7 \) evaluates to True,
- \( 7 \leq x < 7.25 \) may also be evaluated with varied context,
- An inequality like \( 812 + 4x < 41 \) should be solved as part of the logical development.
From what is provided, we can infer that perhaps x should be less than 7.25 to fulfill the conditions of some inequalities posed earlier (assuming we're discussing open versus closed intervals).
Therefore, the completed statement should likely be:
**x < 7.25**
If you're looking to incorporate the condition about `x` potentially being in context with the others (and if `True` and `False` inherently designate correctness), you would use corresponding relationship symbols based on solving the inequalities indicated.
Thus, the solution to final statement could look like this:
x **<** 7.25
It seems like the main part of the problem is to find the correct inequality symbol that relates `x` to the boundary conditions. Since the values given (specifically "7" and "7.25") seem to suggest a sense of upper bounds — and the fact that the table indicates `True` and `False` may imply these are limits of validity — we want to identify which inequality holds.
Given that:
- \( x < 7 \) evaluates to True,
- \( 7 \leq x < 7.25 \) may also be evaluated with varied context,
- An inequality like \( 812 + 4x < 41 \) should be solved as part of the logical development.
From what is provided, we can infer that perhaps x should be less than 7.25 to fulfill the conditions of some inequalities posed earlier (assuming we're discussing open versus closed intervals).
Therefore, the completed statement should likely be:
**x < 7.25**
If you're looking to incorporate the condition about `x` potentially being in context with the others (and if `True` and `False` inherently designate correctness), you would use corresponding relationship symbols based on solving the inequalities indicated.
Thus, the solution to final statement could look like this:
x **<** 7.25