8-4: Union & Intersection

Front

What is the definition of a union of sets?

Back

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

Front

What is the definition of an intersection of sets?

Back

The intersection of sets A and B, denoted as A ∩ B, is the set of elements that are in both A and B.

Front

What does the symbol 'X'' represent in set theory?

Back

X' (X prime) represents the complement of set X, which includes all elements not in X.

Front

If X = {multiples of 4} and Y = {multiples of 5}, what is X ∪ Y for the sample space of numbers 1 to 20?

Back

X ∪ Y = {4, 5, 8, 10, 12, 15, 16, 20}.

Front

If X = {multiples of 3} and Z = {factors of 12}, what is X ∩ Z for the sample space of numbers 1 to 20?

Back

X ∩ Z = {3, 6, 12}.

Front

What is the union of the sets X = {multiples of 2} and Y = {multiples of 3} for the sample space of numbers 1 to 24?

Back

X ∪ Y = {1, 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24}.

Front

What is the intersection of the sets Y = {multiples of 5} and Z = {factors of 15}?

Back

Y ∩ Z = {5, 15}.

Front

What is the complement of the set X = {multiples of 3} for the sample space of numbers 1 to 20?

Back

X' = {1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 19, 20}.

Front

If M = {all integers from 1 to 20}, E = {even numbers}, and T = {multiples of 3}, what is M - (E ∪ T)?

Back

M - (E ∪ T) = {1, 5, 7, 11, 13, 17, 19}.

Front

What is the definition of a factor in mathematics?

Back

A factor of a number is an integer that can be multiplied by another integer to produce that number.