Sets - Venn Diagrams Flashcard 2

Front

What is a set in mathematics?

Back

A set is a collection of distinct objects, considered as an object in its own right. For example, the set of all even numbers.

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of the relationships between different sets, using overlapping circles to show common elements.

Front

What does A ∩ B represent in set theory?

Back

A ∩ B represents the intersection of sets A and B, which includes all elements that are common to both sets.

Front

What does A U B represent in set theory?

Back

A U B represents the union of sets A and B, which includes all elements that are in either set A, set B, or both.

Front

What does A^C represent in set theory?

Back

A^C represents the complement of set A, which includes all elements not in set A.

Front

How do you determine the number of elements not in a set?

Back

To find the number of elements not in a set, subtract the number of elements in the set from the total number of elements in the universal set.

Front

What is the principle of inclusion-exclusion?

Back

The principle of inclusion-exclusion is a formula used to calculate the size of the union of multiple sets by including the sizes of the individual sets and excluding the sizes of their intersections.

Front

How do you represent 'not A' in set notation?

Back

'Not A' is represented as A^C or the complement of A.

Front

What is the shaded region in a Venn diagram typically used to represent?

Back

The shaded region in a Venn diagram represents the elements that satisfy a certain condition or set relation.

Front

How can you find the number of elements in the intersection of two sets?

Back

To find the number of elements in the intersection of two sets, count the elements that are present in both sets.