Question

Determine whether the set is well defined.

1) The set of manufacturers of televisions that enjoyed sizeable profits in 1996
A) not well defined
B) well defined

Answer 1

A) not well defined

Explanation:

A set is said to be a well-defined set when we can clearly state whether something belongs to that set or not without any trace of ambiguity.

This implies that based on the information provided, we can easily decide on the members of a well defined set. A set that is not well defined carries some level of ambiguity regarding what and what should be part of the set.

In this case, 'sizeable profits' was not clearly defined. There ought to have been a threshold of profit defined as sizeable (e.g profit of $ 1,200,000 and above).

Since there is no such definition of 'sizeable profits', the set is not well defined.