Let's go through each part of your question one by one.
Question 1:
You need to solve the inequality \(59w \geq 8\). To isolate \(w\), you should divide both sides by \(59\), since it's multiplying \(w\).
Correct Response:
Divide 59 on both sides of the inequality.
Question 2:
After dividing both sides of the inequality \(59w \geq 8\) by \(59\), you will have:
\[ w \geq \frac{8}{59} \]
Now, calculating \(\frac{8}{59}\) gives approximately \(0.135593\), which is not equivalent to any of the specific responses like \(445\), \(4 \frac{4}{5}\) or \(14 \frac{2}{5}\). So, let’s consider its equivalent in terms of fractions and decimals.
None of the specific options directly matches this answer. However, if we evaluate it and assume any approximate decimals could match, we are looking for :
The solution should be expressed as \( w \geq \frac{8}{59} \).
Answer:
The explicit exact fraction would be:
- (None of the options directly match but your best bet is to represent with exact fractions.)
Question 3:
Given that \(w \geq \frac{8}{59}\) indicates that \(w\) is greater than or equal to a value, the graph of this inequality will show:
- A closed circle at \(\frac{8}{59}\) (indicating that the value is included in the range) and shading to the right (indicating that values greater than \(\frac{8}{59}\) are part of the solution).
Correct Response:
Closed circle, shade right.
If you have options that could explicitly include decimals or fractions, please double-check them as some values like \(7\) or \(8\) would work based on other approximations not directly from the inequality represented.
1 answer