Test Yourself # 3: Set Operations

Front

What is the result of the operation B - A if A = {3, 4, 5, 6} and B = {2, 4, 6, 8}?

Back

B - A = {2, 8}

Front

What is the result of the operation (A∪B) - C if A = {1, 3, 5, 7}, B = {2, 3, 4, 5}, and C = {2, 4, 6, 8}?

Back

(A∪B) - C = {1, 3, 5, 7}

Front

What does the notation A ∪ C represent in set theory?

Back

A ∪ C represents the union of sets A and C, which includes all elements that are in A, in C, or in both.

Front

What does the notation A ∩ C represent in set theory?

Back

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

Front

What does the notation (A ∩ C)' represent?

Back

(A ∩ C)' represents the complement of the intersection of sets A and C, which includes all elements not in the intersection.

Front

What is the result of the operation A' - B' in set theory?

Back

A' - B' represents the elements that are in the complement of A but not in the complement of B.

Front

What does the notation (A ∪ B)' represent?

Back

(A ∪ B)' represents the complement of the union of sets A and B, which includes all elements not in either A or B.

Front

If A = { a, e, i } and B = { a, e, i, o, u }, what is A ∩ B?

Back

A ∩ B = { a, e, i }.

Front

What is the definition of a set in mathematics?

Back

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

Front

What is the difference between a union and an intersection of sets?

Back

The union of sets includes all elements from both sets, while the intersection includes only the elements that are common to both sets.