Union of Sets 11/08

Front

What is the definition of the union of two sets?

Back

The union of two sets P and Q, denoted as P ∪ Q, is the set of elements that are in P, in Q, or in both.

Front

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

Back

P ∪ Q = {0, 1, 2, 3, 4}.

Front

How do you represent the union of three sets P, Q, and R?

Back

The union of three sets P, Q, and R is represented as P ∪ Q ∪ R.

Front

What is the result of the union of two disjoint sets?

Back

The union of two disjoint sets is the combination of all elements from both sets, as they have no elements in common.

Front

Given sets P = {1, 2, 3} and R = {3, 4, 5}, what is P ∪ R?

Back

P ∪ R = {1, 2, 3, 4, 5}.

Front

What does a Venn diagram illustrate in relation to set operations?

Back

A Venn diagram visually represents the relationships between sets, including their unions, intersections, and differences.

Front

If Q = P ∪ R, what can be inferred about the elements in Q?

Back

All elements in Q are either in P, in R, or in both.

Front

What is the significance of the empty set in union operations?

Back

The union of any set with the empty set is the original set itself.

Front

How can you determine if an element is in the union of two sets?

Back

An element is in the union of two sets if it is present in at least one of the sets.

Front

What is the union of the sets A = {a, b} and B = {b, c, d}?

Back

A ∪ B = {a, b, c, d}.