Introduction - Set Theory

Front

What is a set in set theory?

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 common to both sets.

Front

What is a Venn Diagram?

Back

A Venn Diagram is a visual representation of sets and their relationships, often used to illustrate unions, intersections, and differences.

Front

What does it mean for one set to be a subset of another?

Back

A set A is a subset of set B if all elements of A are also elements of B.

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 the difference between disjoint sets and overlapping sets?

Back

Disjoint sets have no elements in common, while overlapping sets share at least one element.

Front

True or False: The empty set is a subset of every set.

Back

True

Front

If P = {1, 2, 3} and Q = {3, 4, 5}, what is P ∩ Q?

Back

P ∩ Q = {3}