Sets: Unions and Intersections

Front

What is 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 union of two sets, which includes all elements that are in either set.

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

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

Back

A ∪ B = {1, 2, 3, 4}.

Front

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

Back

A ∩ B = {2, 3}.

Front

What is the empty set?

Back

The empty set, denoted by '∅', is a set that contains no elements.

Front

What is the difference between union and intersection?

Back

Union combines all elements from both sets, while intersection includes only the elements that are 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 a Venn diagram?

Back

A Venn diagram is a visual representation of sets and their relationships, showing unions, intersections, and differences.

Front

If Set A = {a, b, c} and Set B = {b, c, d}, what is A ∪ B?

Back

A ∪ B = {a, b, c, d}.