Question
An inequality is shown 9w < 198 what is the solution to this inequality A w > 1/2 B W < 12 C w < 1/2 D w > 12 you have to pick a answer
Answers
GPT-4o mini
To solve the inequality \( 9w < 198 \), we divide both sides by 9:
\[
w < \frac{198}{9}
\]
Calculating \( \frac{198}{9} \):
\[
\frac{198}{9} = 22
\]
So, the solution to the inequality is:
\[
w < 22
\]
This solution does not directly match any of the provided options A, B, C, or D. However, the closest comparison would be to note that \( w < 12 \) (option B) still indicates a value smaller than 22, but it is an incorrect representation as it does not fully capture the solution for all valid \( w \).
Out of the provided answers, **none of them are correct** based on the calculation. If you have to choose one from the options given, then **option B ( \( w < 12 \) )** is the least incorrect in terms of showing \( w \) less than a number, but it is not technically accurate. The correct solution is \( w < 22 \).
\[
w < \frac{198}{9}
\]
Calculating \( \frac{198}{9} \):
\[
\frac{198}{9} = 22
\]
So, the solution to the inequality is:
\[
w < 22
\]
This solution does not directly match any of the provided options A, B, C, or D. However, the closest comparison would be to note that \( w < 12 \) (option B) still indicates a value smaller than 22, but it is an incorrect representation as it does not fully capture the solution for all valid \( w \).
Out of the provided answers, **none of them are correct** based on the calculation. If you have to choose one from the options given, then **option B ( \( w < 12 \) )** is the least incorrect in terms of showing \( w \) less than a number, but it is not technically accurate. The correct solution is \( w < 22 \).