Set Theory

Front

What is a Universal Set?

Back

A Universal Set is the set that contains all the objects or elements under consideration for a particular discussion or problem.

Front

What is the complement of a set A?

Back

The complement of a set A, denoted as A', is the set of all elements in the Universal Set that are not in A.

Front

If A = {0}, what is the complement of A in the Universal Set U = {-4, 3, -2, -1, 0, 1, 2, 3, 4}?

Back

The complement of A is {-4, -3, -2, -1, 1, 2, 3, 4}.

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 common to both sets.

Front

What is the result of (A ∪ B) ∩ (B ∪ C) if A = {1, 2, 3, 4, 5, 6}, B = {1, 2, 3, 5, 7, 9}, and C = {3, 5, 6, 7, 8, 9}?

Back

The result is {1, 2, 3, 5, 6, 7, 9}.

Front

What does a Venn diagram represent in set theory?

Back

A Venn diagram visually represents the relationships between different sets, showing their intersections, unions, and complements.

Front

What does the shaded region in a Venn diagram typically represent?

Back

The shaded region represents the elements that belong to the sets indicated, depending on the context of the question.

Front

What does (A ∪ B)' represent?

Back

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

Front

If P = {0, 1, 2, 3, 4} and Q = {4, 5, 6, 7}, what is P ∪ Q?

Back

P ∪ Q = {0, 1, 2, 3, 4, 5, 6, 7}.