Set Operations and Venn Diagram

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, A = {1, 2, 3} is a 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 does the symbol ∪ represent in set theory?

Back

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

Front

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

Back

A ∩ B = {2, 3}

Front

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

Back

A ∪ B = {1, 2, 3, 4}

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation of sets and their relationships, often using circles to show intersections and unions.

Front

How do you find the number of elements in the union of two sets?

Back

To find n(A ∪ B), use the formula: n(A) + n(B) - n(A ∩ B).

Front

If C = {2, 4, 6} and D = {4, 5, 6}, what is C ∩ D?

Back

C ∩ D = {4, 6}

Front

If E = {1, 2, 3} and F = {3, 4, 5}, what is (E ∪ F) ∩ E?

Back

(E ∪ F) ∩ E = {1, 2, 3}

Front

What is the complement of a set?

Back

The complement of a set A, denoted A', is the set of all elements not in A.