Answer:
Possible values of c are

For example: The shelter can house 17 cats because 17 < 28.
Explanation:
Let c be the number of cats.
The given inequality is

We need to find the possible number of cats that a shelter can house.
The number number of cats can not be
1. A fraction value
2. A Decimal value
3. A negative value
Since c<28, therefore the number of cats must be greater that or equal to 0 and less that 28.

The possible values of c are

For example: The shelter can house 17 cats because 17 < 28.