Lesson 3.8 - Unions and Intersections of Sets

Front

What is the definition of a set?

Back

A set is a collection of distinct objects, considered as an object in its own right.

Front

What does the symbol '∪' represent in set theory?

Back

The symbol '∪' represents the union of two sets, which is the set of elements that are in either set.

Front

What does the symbol '∩' represent in set theory?

Back

The symbol '∩' represents the intersection of two sets, which is the set of elements that are in both sets.

Front

If Set A = {1, 2, 3} and Set B = {2, 3, 4}, what is A ∪ B?

Back

A ∪ B = {1, 2, 3, 4}.

Front

If Set A = {1, 2, 3} and Set B = {2, 3, 4}, what is A ∩ B?

Back

A ∩ B = {2, 3}.

Front

What is the empty set?

Back

The empty set, denoted by {}, is a set that contains no elements.

Front

How do you represent the union of three sets A, B, and C?

Back

The union of three sets A, B, and C is represented as A ∪ B ∪ C.

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of the relationships between different sets, showing their unions and intersections.

Front

If Set A = {x | x < 5} and Set B = {x | x > 3}, what is A ∩ B?

Back

A ∩ B = {x | 3 < x < 5}.

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.