1.4 Operations On Sets Flashcards
What is the definition of A ∩︎ B? What is its Venn diagram?
A ∩︎B is the intersection of A and B. It is defined as {x | x ∈ and x ∈ B}.
The Venn diagram is the portion where A and B overlap.
What is the definition of A ∪︎ B? What is its Venn diagram?
A ∪︎ B is the union of A and B, defined as {x | x ∈︎ A or x ∈︎ B}.
It’s Venn diagram is all of A and B.
What is the definition of A \ B? What is its Venn diagram?
A \ B is the difference of A and B and is defined as {x | x ∈︎ A and x ︎ ∉︎ B}.
It’s Venn diagram is the part of A that does not overlap with B.
What is A ∆︎ B? What is its Venn diagram?
A ∆︎ B is the symmetric difference of A and B. It’s Venn diagram is the part of A that doesn’t overlap with B and the part of B that doesn’t overlap with A.
