Sets with Union, Intersection

Front

What is the definition of a set?

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 theory?

Back

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

Front

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

Back

The symbol 'U' represents the union of two sets, which is the set of all elements that are in either set.

Front

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

Back

A ∩ B = {2, 3}.

Front

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

Back

A U B = {1, 2, 3, 4}.

Front

What is the difference between union and intersection?

Back

Union combines all unique elements from both sets, while intersection includes only the elements that are present in both sets.

Front

If A = {x | x is an even number} and B = {x | x is a prime number}, what is A ∩ B?

Back

A ∩ B = {2}, since 2 is the only even prime number.

Front

What is the empty set?

Back

The empty set, denoted by {}, is a set that contains no elements.

Front

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

Back

A ∩ B = {1, 2, 3}.

Front

If A = {1, 2, 3} and B = {4, 5, 6}, what is A ∩ B?

Back

A ∩ B = {}.