Respuesta :

Answer:

[tex]\dfrac{3}{8}\text{ foot}<x<\dfrac{3}{4}\text{ foot}[/tex]

Step-by-step explanation:

We are given the following in the question:

There are three pieces of a wood.

Length of longest piece =

[tex]\dfrac{3}{4}\text{ foot}[/tex]

Length of shortest piece =

[tex]\dfrac{3}{8}\text{ foot}[/tex]

Let x be the length of the third piece.

Since the length of third piece lies between the length of the longest and the shortest piece of wood, thus, we use the following inequality to represent the length of the third piece.

Inequality:

[tex]\dfrac{3}{8}\text{ foot}<x<\dfrac{3}{4}\text{ foot}[/tex]