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The universal set is represented usually by a rectangle and its subsets by circles.
Set theory venn diagram pdf. The venn diagram makes the situation easy to visualise. To represent the set a in a two circle venn diagram simply shade the circle corresponding to set a and ignore the rest of the figure as shown in figure 2 4 a. Sets and venn diagrams. Each set is shown as a circle and circles overlap if the sets intersect.
Thus for the same reason understanding of this topic is of grave importance to. The purpose of this module is to introduce language for talking about sets and some. Create a venn diagram for the set a b. Basics of set theory with venn diagrams.
The emphasis should be made while translating the sentences into areas of the venn diagram. Venn diagrams most of the relationships between sets can be represented by means of diagrams which are known asvenn diagrams. While solving pay careful attention to phrases like and or. Set theory is a very important branch of mathematics that has wide ranging applications.
Example 2 5 the following are venn diagrams for the intersection and union of two sets. Most of the set thoery formulas of cat in this section can be deduced logically with little effort. A set is a collection of things. These include hat shirt jacket pants and so on.
Sets and venn diagrams sets. Notation for setting out calculations so that counting problems such as this can be sorted out. For example the items you wear is a set. You write sets inside curly brackets like this.
These diagrams consist of rectangles and closed curves usually circles. The shaded parts of the diagrams are the intersections and unions respectively. Sets and venn diagrams is one of the easiest topics of cat. Venn diagrams are named after the english logician john venn 1834 1883.
Likewise the same idea would be followed to indicate set b. Saturday july 4th 2020.
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