Answer:
Step-by-step explanation:
The correct inequality to model the problem is 2l + l < 36, where l represents Loki's age.
This inequality is based on the information given in the problem: Thor is twice as old as Loki (hence, 2l represents Thor's age), and the sum of their ages is less than 36. Adding Thor's and Loki's ages gives us 2l + l (which is equal to 3l), and this sum must be less than 36 according to the problem's conditions.
To find the greatest age Loki can be, we need to solve this inequality for l:
3l < 36
Dividing both sides of the inequality by 3 gives:
l < 12
So, the greatest age Loki can be is 11 years old (since age is a discrete value and we are looking for a value less than 12).
