Question
An inequality is shown 9w < 198 what is the solution to this inequality A 22 > 1/2 B 22 < 12 C 22 < 1/2 D 22 > 12 you have to pick a answer
Answers
GPT-4o mini
To solve the inequality \(9w < 198\), you first divide both sides by 9:
\[
w < \frac{198}{9}
\]
Calculating the right side:
\[
\frac{198}{9} = 22
\]
So, the solution is:
\[
w < 22
\]
Now, let's analyze the provided options:
A) \(22 > \frac{1}{2}\) (True, but not related to \(w\))
B) \(22 < 12\) (False)
C) \(22 < \frac{1}{2}\) (False)
D) \(22 > 12\) (True, but not related to \(w\))
None of the options directly state \(w < 22\), but the closest option can be inferred from analyzing the inequality. However, based on the answers you have provided, none are directly correct interpretations of the original inequality \(w < 22\).
If we have to choose the best answer that is true based on the options, it would be:
**D) \(22 > 12\)** (since it is true, but not directly answering the original inequality). However, this doesn't reflect the solution to \(9w < 198\).
\[
w < \frac{198}{9}
\]
Calculating the right side:
\[
\frac{198}{9} = 22
\]
So, the solution is:
\[
w < 22
\]
Now, let's analyze the provided options:
A) \(22 > \frac{1}{2}\) (True, but not related to \(w\))
B) \(22 < 12\) (False)
C) \(22 < \frac{1}{2}\) (False)
D) \(22 > 12\) (True, but not related to \(w\))
None of the options directly state \(w < 22\), but the closest option can be inferred from analyzing the inequality. However, based on the answers you have provided, none are directly correct interpretations of the original inequality \(w < 22\).
If we have to choose the best answer that is true based on the options, it would be:
**D) \(22 > 12\)** (since it is true, but not directly answering the original inequality). However, this doesn't reflect the solution to \(9w < 198\).