Question

Daniel moves no more than 30 of his sheep and goats into another field. More than 7 of his animals are sheep.Let s represent the number of sheep and g represent the number of goats. Identify two inequalities that represent this situation.

Answer 1

The required inequalities are
`s+g\leq 30` and
`s>7`.

Explanation:

Consider the provided information.

Daniel moves no more than 30 of his sheep and goats into another field.

Let s represent the number of sheep and g represent the number of goats.

No more than means the number of sheep and goats should be less than or equal to 30.

For less than or equal to use the inequality ≤

Hence the required inequality is:
`s+g\leq 30`

More than 7 of his animals are sheep.

This can be represented as:

`s>7`

Hence, the required inequalities are
`s+g\leq 30` and
`s>7`.