Question
an inequality is shown 9w < 198 what is the solution to this inequality A w > 1/12 B w < 12 C w < 1/12 D w > 12
Answers
GPT-4o mini
To solve the inequality \( 9w < 198 \), you need to isolate \( w \) by dividing both sides by 9.
\[
w < \frac{198}{9}
\]
Now, calculate \( \frac{198}{9} \):
\[
\frac{198}{9} = 22
\]
So, the solution to the inequality is:
\[
w < 22
\]
Looking at your options, none of them exactly match \( w < 22 \). However, the closest option indicating \( w \) is less than a positive number is:
B) \( w < 12 \)
Though technically, the real answer is \( w < 22 \), if your options are limited to what you have provided, then \(w < 12\) is the only feasible choice even if it is not the best representation of the complete solution.
\[
w < \frac{198}{9}
\]
Now, calculate \( \frac{198}{9} \):
\[
\frac{198}{9} = 22
\]
So, the solution to the inequality is:
\[
w < 22
\]
Looking at your options, none of them exactly match \( w < 22 \). However, the closest option indicating \( w \) is less than a positive number is:
B) \( w < 12 \)
Though technically, the real answer is \( w < 22 \), if your options are limited to what you have provided, then \(w < 12\) is the only feasible choice even if it is not the best representation of the complete solution.