Well-Defined Sets Quiz

What is the definition of a well-defined set?

• A well-defined set is a set that has clear criteria for determining whether an element belongs to the set or not.

• A well-defined set is a set that can have multiple definitions.

• A well-defined set is a set that has an infinite number of elements.

• A well-defined set is a set that contains only numbers.

Which of the following is a property of well-defined sets?

• Every element is clearly defined.

• Some elements may be vaguely defined.

• Elements may have multiple definitions.

• Elements may be defined differently depending on the context.

True or False: A well-defined set can have duplicate elements.

• False

• Only if it is a finite set

• Sometimes

• True

What is the main characteristic of a well-defined set?

• Vague and ambiguous criteria for determining membership.

• No criteria for determining membership.

• Multiple criteria for determining membership.

• Clear and unambiguous criteria for determining membership

Which of the following is not a property of well-defined sets?

• Finite size.

• Infinite size

Provide another example of a well-defined set.

• The set of all real numbers.

• The set of animals with four legs.

• The set of prime numbers less than 10

• The set of even numbers greater than 100.

True or False: A well-defined set can be empty.

• Not always.

• Sometimes.

• False.

• True

What is the cardinality of a well-defined set with 5 elements?

• 6

• 5

• 4

• 10

How many elements does this set have {1,4,9,16,25}?

• 6

• 5

• 4

• 10

Is the set well-defined {1,4,9,16,25}?

• Yes

• No