Warmup: Flashcard Review Sets and Venn Diagrams

Front

What is a set?

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 containing the numbers 1, 2, and 3.

Front

What does the symbol ⊂ represent?

Back

The symbol ⊂ represents 'is a subset of'. If A ⊂ B, it means every element of A is also an element of B.

Front

What is the union of two sets?

Back

The union of two sets A and B, denoted A ∪ B, is the set of elements that are in A, in B, or in both.

Front

What is the intersection of two sets?

Back

The intersection of two sets A and B, denoted A ∩ B, is the set of elements that are common to both A and B.

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, relative to a universal set.

Front

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

Back

A ∪ B = {1, 2, 3, 4}.

Front

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

Back

A ∩ B = {2, 3}.

Front

What does the symbol ∪ mean in set theory?

Back

The symbol ∪ means 'union' and is used to combine two sets.

Front

What does the symbol ∩ mean in set theory?

Back

The symbol ∩ means 'intersection' and is used to find common elements between two sets.

Front

What is a Venn diagram?

Back

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