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Answer the word problems once you have read and analyzed the three set venn diagrams displayed here.
Venn diagram examples math. For more word problem examples to work on complete with worked solutions try this page provided by joe kahlig of texas a m university. A venn diagram consists of multiple overlapping closed curves usually circles each representing a set. Math explained in easy language plus puzzles games quizzes worksheets and a forum. Venn diagram word problems three sets.
40 15 15 15 5 10 0 100. Venn diagrams can be used to express the logical in the mathematical sense relationships between various sets. Given the set p is the set of even numbers between 15 and 25. 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.
The intersection represents elements that are in both sets. The following examples should help you understand the notation terminology and concepts relating venn diagrams and set notation. Draw venn diagram using the information provided and answer the questions that follow. These include hat shirt jacket pants and so on.
A venn diagram also called primary diagram set diagram or logic diagram is a diagram that shows all possible logical relations between a finite collection of different sets these diagrams depict elements as points in the plane and sets as regions inside closed curves. For example the items you wear is a set. List out the elements of p. Draw and label a venn diagram to represent the set p and indicate all the elements of set p in the venn diagram.
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. These word problems are ideal for grade 6 through high school. Sets and venn diagrams sets. So the number of students enrolled in at least one of the subjects is 100.
In a town 85 of the people speak tamil 40 speak english and 20 speak hindi. From the above venn diagram number of students enrolled in at least one of the subjects. Taking the disjoint set venn diagram example from before if you overlap the circles it indicates an intersection. A set is a collection of things.
Label it p put the elements in p. There is also a software package dos based available through the math archives which can give you lots of practice with the set theory aspect of venn diagrams.
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