Intersection, union, difference and complement
List the elements of the set A ∩ B.
A = ∅
B = ∅
A ∩ B = ?
Click every element of the result. If it has no elements, choose ∅.
Correct answers
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The intersection A ∩ B contains the elements that are in A and in B. The union A ∪ B contains the elements that are in at least one of the sets. The difference A ∖ B contains the elements of A that are not in B. The complement A′ contains the elements of the universal set U that are not in A.
What does this generator do?
It shows the sets A and B and an operation. On easy, you find intersections and unions. On medium, differences too. On hard, complements in the universal set U and combined expressions such as (A ∪ B)′.
How to use it
1) Read the operation and say it in words (“in A and in B”, “in at least one”, “in A but not in B”, “in U but not in A”). 2) Go through the numbers one by one and click those that fit. 3) If no element fits, choose ∅.