What Does A U B Mean In Venn Diagrams
Ii a b we know that a b a b the required region is the.
What does a u b mean in venn diagrams. In this section you will learn how to draw a venn diagram for a union b whole complement. Let s say that our universe contains the numbers 1 2 3 and 4 so u 1 2 3 4. Sets and venn diagrams sets. Venn diagrams wjec venn diagrams are a useful tool in the world of statistics.
A set is a collection of things. To represent the union of two sets we use the symbol not to be confused with the letter u in the below example we have circle a in green and circle b in purple. The following examples should help you understand the notation terminology and concepts relating venn diagrams and set notation. I a b step 1 draw u a b step 2 mark a b step 3 mark a b i e.
Consider a universal set with two subsets a and b. A venn diagram could be used for example to compare two companies. Don t confuse this symbol with the letter u this is a two circle venn diagram. First draw venn diagram for a u b and then a u b.
Venn diagrams the venn diagram is a convenient way to illustrate definitions within the algebra of sets. We may represent this as a rectange containing the universal set with circles containing the elements of a and b. You write sets inside curly brackets like this. These include hat shirt jacket pants and so on.
Venn diagrams can be used to express the logical in the mathematical sense relationships between various sets. Union of two sets venn diagram click on image to modify online. The green circle is a and the blue circle is b. To represent a u b in venn diagram we have to shade the region other than a and b.
The complete venn diagram represents the union of a and b or a b. Scroll down the page for more examples and solutions on how to shade venn diagrams to represent the required regions of two sets and three sets. Venn diagrams are used to depict how items relate to each other against an overall backdrop universe data set or environment. For example the items you wear is a set.
Venn diagrams are comprised of a series of overlapping circles each circle representing a category. Venn diagram of a u b. Feel free to click on the image to try this diagram as a template. Once you have got to grips with these you will be able to arrange all sorts of groups and sets.
A intersect b a union b a a intersect b a intersect b a union b a union b a union b a intersect b a intersect b a union b.