Set Operations

Front

What is a set in mathematics?

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 operations?

Back

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

Front

What does the symbol ∩ represent in set operations?

Back

The symbol ∩ represents the intersection of two sets, which includes all elements that are common to both sets.

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 is the complement of a set A?

Back

The complement of a set A includes all elements not in A, relative to a universal set.

Front

What is a Venn diagram?

Back

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

Front

How do you denote the number of elements in a set?

Back

The number of elements in a set is denoted by n(set_name). For example, n(A) represents the number of elements in set A.

Front

What is the difference between a finite set and an infinite set?

Back

A finite set has a limited number of elements, while an infinite set has no limit to the number of elements.

Front

If R = {x | x is an integer and -4 < x < 8}, list the elements of R.

Back

R = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7}.