To help solve the problem, we need more specific details regarding the rate at which Ivanna is pumping water in liters per minute and the initial amount of water in the aquarium. Additionally, the goal inequality needs to be clarified.
Assuming an example:
Let's say Ivanna is pumping water at a rate of 3 liters per minute, and she started with 10 liters. If her goal is to reach at least 50 liters of water in the aquarium, the situation could be described by the following inequality:
Let \( x \) be the number of minutes she pumps water into the aquarium. The total amount of water after \( x \) minutes is given by the initial amount plus the amount pumped:
\[ 10 + 3x \geq 50 \]
Now we solve the inequality:
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Subtract 10 from both sides: \[ 3x \geq 40 \]
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Divide by 3: \[ x \geq \frac{40}{3} \approx 13.33 \]
(a) Thus, the solution to the inequality is \( x \geq \frac{40}{3} \) or approximately 13.33 minutes.
To graph this solution on the number line:
- Mark the point \( \frac{40}{3} \approx 13.33 \).
- Shade all numbers to the right of this point to represent \( x \geq \frac{40}{3} \).
(b) The statement that best describes the solution could be:
"The number of minutes Ivanna needs to pump water into the aquarium must be greater than or equal to approximately 13.33 minutes in order to reach her goal of at least 50 liters."
Feel free to provide specific values if you need a different scenario!