Question

Cate solved an inequality to find c, the possible number of cats that a shelter can house. She found that c < 28. Which statement best describes a possible solution to Cate's problem?

Answer 1

Since the number of cats has to be less than 28, a statement could be "the shelter can house no more than 28 cats.

Answer 2

Possible values of c are

`c=0,1,2,3,4,...,26,27`

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

Explanation:

Let c be the number of cats.

The given inequality is

`c<28`

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.

`0\leq c<28`

The possible values of c are

`c=0,1,2,3,4,...,26,27`

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