Jane dog weighs 58 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 40 pounds. Jane's dog can lose an average of 1.5 pounds every week. Write the solution to an inequality that describes all possible number of weeks x for which her dog can be a healthy weight.

Question

Jane dog weighs 58 pounds. Her vet told her that a healthy weight for her dog would be less than or equal to 40 pounds. Jane's dog can lose an average of 1.5 pounds every week. Write the solution to an inequality that describes all possible number of weeks x for which her dog can be a healthy weight.

Answer 1

58 - 1.5x ≤ 40

Simplify the inequality:

-1.5x ≤ 40 - 58
-1.5x ≤ -18
x ≥ -18 / -1.5
x ≥ 12

Therefore, the solution to the inequality is:

x ≥ 12

Jane's dog can be a healthy weight in 12 weeks or more.