Chapter 11.2, Problem 51SPR

To determine

To explain:

Whether the statement is always, sometimes or never true.

Answer to Problem 51SPR

The statements is always true.

Explanation of Solution

Given information:

  

A rhombus is a rectangle but not a square.

From the given Venn diagram:

The item on the inside is always part of the family on the outside.

The item on the outside is sometimes part of the family on the outside.

Also, that are not inside or outside of each other are never part of the same family.

A rhombus and a rectangle are not inside or outside of one another.

Hence, the statements never true.