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Analyzing One-Variable Inequalities in Context

Analyzing One-Variable Inequalities in Context 1.6 - Solution

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We are told that the dog should weigh less than 6565 pounds. The phrase "less than" can be algebraically expressed using the symbol <.<. Now we can write an inequality that describes the desired weight for the dog. Desired weight<65\begin{gathered} \text{Desired weight}< 65 \end{gathered} The current weight of the dog is 8080 pounds and she is expected to lose 1.251.25 pounds per week on the new diet. If we call the number of weeks the dog has to diet x,x, we can write the left-hand side of the inequality. 801.25x<65\begin{gathered} 80-1.25x< 65 \end{gathered} By solving for xx we can find how many weeks it will take for the dog to reach her dream weight.
801.25x<6580-1.25x<65
-1.25x<-15\text{-} 1.25x<\text{-} 15
x>-15-1.25x> \dfrac{\text{-} 15}{\text{-} 1.25}
x>12x>12
It's going to take more than 1212 weeks for the dog to reach a healthy weight.