Subset Using Venn Diagram
Let s look at union intersection and complement using a venn diagram.
Subset using venn diagram. Double click your word document to open it in word. All that in one small diagram. Do you see that alex casey drew and hunter are in the soccer set. In a venn diagram the sets are represented by shapes.
If a is a subset of b a b but a is not equal to b then we say a is a proper subset of b written as a b or a subne. A venn diagram can show us the sets and operations nicely in picture form. A venn diagram is clever because it shows lots of information. And that casey drew and jade are in the tennis set.
This wikihow teaches you how to create your own venn diagram using smartart in microsoft word. For instance every set in a venn diagram is a subset of that diagram s universe. It s one of the tabs at the top of the screen. If they are unequal then a is a proper subset of b the relationship of one set being a subset of another is called inclusion or sometimes containment a is a subset of b may also be expressed as b includes or contains a or a is.
In this worksheet we will practice representing sets and their subsets using a venn diagram. B is then a superset of a it is possible for a and b to be equal. For each of the 4 terms in the union and intersection identity we can draw the venn diagram and then add and subtract the different diagrams. We will do this for the first column of the venn diagram figure given previously.
The elements of a set are labeled within the circle. You should also try it for the other columns. Casey and drew are in both sets. Scroll down the page for more examples and solutions on subsets.
Use or to fill in the gap. The best way to explain how the venn diagram works and what its formulas show is to give 2 or 3 circles venn diagram examples and problems with solutions. We re going to continue using set k. Venn diagrams can also demonstrate disjoint sets.
As you can see above a subset is a set which is entirely contained within another set. This opens the smartart dialog box. Usually circles or ovals. The intersection of a and b is the set of elements in both set a and set b.
The area of a region represents its probability. Problem solving using venn diagram is a widely used approach in many areas such as statistics data science business set theory math logic and etc. And here is the clever thing. This means b is a subset of a but b a.
B is a proper subset of a. In the graphic below a and b are disjoint. In mathematics a set a is a subset of a set b if all elements of a are also elements of b. We can represent sets using venn diagrams.