PS ~ 3.4 Set Theory (Day 1)

Front

What is a set in mathematics?

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.

Front

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

Back

The symbol '∪' represents the union of two sets, which is the set of elements that are in either set or in both.

Front

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

Back

The symbol '∩' represents the intersection of two sets, which is the set of elements that are common to both sets.

Front

What is the universal set?

Back

The universal set is the set that contains all possible elements for a particular discussion or problem.

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?

Back

The complement of a set A, denoted A', is the set of all elements in the universal set that are not in A.

Front

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

Back

A' = {1, 4, 5}.

Front

What is the difference between two sets A and B?

Back

The difference A - B is the set of elements that are in A but not in B.

Front

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

Back

A - B = {1}.