We are told that the dog should weigh less than
65 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
The current weight of the dog is
80 pounds and she is expected to lose
1.25 pounds per week on the new diet. If we call the number of weeks the dog has to diet
x, we can write the left-hand side of the inequality.
80−1.25x<65
By solving for
x we can find how many weeks it will take for the dog to reach her dream weight.
80−1.25x<65 -1.25x<-15 x>-1.25-15
It's going to take more than
12 weeks for the dog to reach a healthy weight.