Understanding Equal and Equivalent Sets

What defines two sets as equal?

• They have the same number of elements.

• They contain exactly the same elements, regardless of order.

• They have elements that can be paired one-to-one.

• They have the same cardinality.

How do we denote that set A is equal to set B?

• A ≠ B

• A > B

• A = B

• A ~ B

Which of the following is true about equivalent sets?

• They must have the same number of elements.

• They must have the same cardinality.

• They must be in the same order.

• They must have the same elements.

What symbol is used to denote that set C is equivalent to set D?

• ≠

• ~

• >

• =

What does one-to-one correspondence mean in the context of sets?

• Each element in one set can be paired with a unique element in another set.

• Each element in one set is identical to an element in another set.

• Each set has the same number of elements.

• Each set contains the same elements.

Which of the following is NOT a characteristic of equivalent sets?

• They have the same number of elements.

• They have a one-to-one correspondence.

• They contain the same elements.

• They have the same cardinality.

What is the term used to describe the number of elements in a set?

• Cardinality

• Correspondence

• Equivalence

• Equality

If set E has 5 elements and set F has 5 elements, what can we say about these sets?

• They have no correspondence.

• They have different cardinalities.

• They are equivalent sets.

• They are equal sets.

What is the cardinality of a set with elements j, k, l, 9, and 12?

• 4

• 6

• 5

• 3

In the context of sets, what does the term 'cardinality' refer to?

• The number of elements in the set.

• The relationship between two sets.

• The order of elements in the set.

• The type of elements in the set.