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Elsa is pumping water into an aquarium at a rate of 11 liters per minute. The aquarium had 34 liters of...

Elsa is pumping water into an aquarium at a rate of 11 liters per minute. The aquarium had 34 liters of water in it before she started. Her goal is given by 11x + 34 < 254, where x is the number of minutes she pumps water into the aquarium.
Complete the parts below.
(a) Solve the given inequality and graph the solution on the number line below.
(b) Choose and complete the statement that best describes the solution.
- To meet the goal, the aquarium will have less than [] liters of water in it. This will take more than [] minutes.
- To meet the goal, the aquarium will have less than [] liters of water in it. This will take less than [] minutes.
- To meet the goal, the aquarium will have more than [] liters of water in it. This will take less than [] minutes.

Answer

  1. To solve the inequality 11x + 34 < 254:

    11x + 34 < 254
    11x < 254 - 34
    11x < 220
    x < 20

    The solution is x < 20. Graph this on the number line by shading all numbers less than 20.

  2. To meet the goal, the aquarium will have less than 254 liters of water in it. This will take less than 20 minutes.

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