Introduction - Set Theory

Front

What is the Universal Set?

Back

The Universal Set is the set that contains all possible elements for a particular discussion or problem. For example, in the context of integers, the Universal Set could be all integers from -4 to 4.

Front

What is the complement of a set A?

Back

The complement of a set A, denoted as A', consists of all elements in the Universal Set that are not in A.

Front

If A = {0}, what is the complement of A in the Universal Set = {-4, 3, -2, -1, 0, 1, 2, 3, 4}?

Back

The complement of A is {-4, -3, -2, -1, 1, 2, 3, 4}.

Front

What does the symbol ( ∩ ) represent in set theory?

Back

The symbol ( ∩ ) represents the intersection of two sets, which includes all 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 includes all elements that are in either set.

Front

What does the symbol ( A' ) represent?

Back

The symbol ( A' ) represents the complement of set A, which includes all elements not in A.

Front

What is the intersection of sets X, Y, and Z?

Back

The intersection of sets X, Y, and Z, denoted as X ∩ Y ∩ Z, includes only the elements that are present in all three sets.

Front

If X = {1, 2, 3} and Y = {2, 3, 4}, what is X ∩ Y?

Back

X ∩ Y = {2, 3}, which are the common elements in both sets.

Front

What does the shaded region (A ⋃ B)' represent?

Back

The shaded region (A ⋃ B)' represents the complement of the union of sets A and B, meaning all elements not in A or B.

Front

What does the statement 'A and B' mean in set theory?

Back

The statement 'A and B' refers to the intersection of sets A and B, which includes only the elements that are in both sets.