Question

A fence extends from the side of a house. A dog is tied to a fence post ten feet from the side of the house. The dog’s leash is six feet long. Let d be the greatest and least distance from the house that the dog can reach along the fence.

Answer 1

The question is an illustration of compound inequality.

The distance the dog can reach is: $4 \le d \le 16$

The parameters are given as:

$x = 10$ --- the fence

$y = 6$ --- the leash

The greatest distance, the dog can reach is:

$d = x + y$

$d = 10 + 6$

$d = 16$

The least distance, the dog can reach is:

$d = x - y$

$d = 10 - 6$

$d = 4$

Hence, the distance as a compound inequality is: $4 \le d \le 16$

Read more about compound inequalities at:

https://brainly.com/question/13290962