Set Theory Test 12 MCLA

Front

What is a universal set?

Back

A universal set is the set that contains all the objects or elements under consideration for a particular discussion or problem.

Front

Define the complement of a set W (denoted W').

Back

The complement of a set W consists of all the elements in the universal set U that are not in W.

Front

What does the union of two sets A and B (denoted A U B) represent?

Back

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

Front

What does the intersection of two sets A and B (denoted A ∩ B) represent?

Back

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

Front

How do you find the number of elements not in a set?

Back

To find the number of elements not in a set, subtract the number of elements in the set from the total number of elements in the universal set.

Front

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

Back

A ∩ B = {3, 5, 7}

Front

What is the formula for the number of elements in the union of two sets?

Back

The formula is |A U B| = |A| + |B| - |A ∩ B|.

Front

What does (A U B)' represent?

Back

(A U B)' represents the complement of the union of sets A and B, which includes all elements not in A or B.

Front

How do you denote the complement of a set A?

Back

The complement of a set A is denoted as A'.

Front

If U = {1, 2, 3, 4, 5} and A = {2, 4}, what is A'?

Back

A' = {1, 3, 5}