Question

The Pet Resort is boarding no more than a total of 14 dogs and cats for the weekend. The number of dogs is fewer than twice the number of cats.
Which system of linear inequalities models this scenario?

For this scenario, let d=
the number of dogs and c=
the number of cats.

Answer 1

Let d = number of dogs and c = number of cats.

System:
d + c ≤ 14
d < 2c
d ≥ 0, c ≥ 0

(If you require integer values, the strict inequality can be written as d ≤ 2c − 1.)