what is the Venn diagrams A∩∅ and A∪∅ ? how to draw Venn diagrams?
Answers
A Venn Diagram is a pictorial representation of the relationships between sets. We can represent sets using Venn diagrams. In a Venn diagram, the sets are represented by shapes; usually circles or ovals. ... The set of all elements being considered is called the Universal Set (U) and is represented by a rectangle.
What is a Venn Diagram?
A Venn Diagram is a pictorial representation of the relationships between sets.
We can represent sets using Venn diagrams. In a Venn diagram, the sets are represented by shapes; usually circles or ovals. The elements of a set are labeled within the circle.
The set of all elements being considered is called the Universal Set (U) and is represented by a rectangle.
The complement of A, A', is the set of elements in U but not in A. A' ={x| x ∈ U and x ∉ A}
Set A and B are disjoint sets if they do not share any common elements.
B is a proper subset of A. This means B is a subset of A, but B ≠ A.
The intersection of A and B is the set of elements in both set A and set B. A ∩ B = {x| x ∈ A and x ∈ B}
The union of A and B is the set of elements in set A or set B. A ∪ B = {x| x ∈ A or x ∈ B}
A ∩ ∅ = ∅
A ∪ ∅ = A
The following diagrams show the set operations and Venn Diagrams for Complement of a Set, Disjoint Sets, Subsets, Intersection and Union of Sets. Scroll down the page for more examples and solutions.
