Sets And Venn Diagrams Notes Pdf

Alternate way to define a is a subset of b.

Sets and venn diagrams notes pdf. The purpose of this module is to introduce language for talking about sets and some. Let us say the third set is volleyball which drew glen and jade play. Venn diagrams were conceived around 1880 by john venn an english logician and philosopher. V a b c u a b c cs 441 discrete mathematics for cs m.

The rectangle is the universal set and the circles are sets in the universal set. A b x x a x b b a the intersection of the sets. Venn diagram a venn diagram is used to show visualize the possible relations among a collection of sets. The following diagrams show venn diagrams for ve sets on the left and for 7 sets on the right.

Download rrb ntpc previous papers pdf question 1. A venn diagram is also known as a primary diagram set diagram or logic diagram. V means the set of volleyball players. A set a is said to be a subset of b if and only if every element of a is also an element of b.

Sets and venn diagrams. John venn 1834 1923 pictures from wikipedia union and intersection the union of sets a and b is the set of those elements that are either in a or in b or in both. Venn diagrams for presentations venn diagrams of more sets are possible but tend to be confusing as a presentation tool because of the number of possible interactions. 80 people speak french and 60 people speak german.

U fxjx is a student in math 166 this semesterg we use venn diagrams to show sets. We use a b to indicate a is a subset of b. 5 investigate whether the following statements are true or false. Asetcis a subset of a if every element in c is also in a.

You can also use venn diagrams for 3 sets. Let s say that our universe contains the numbers 1 2 3 and 4 so u 1 2 3 4 let a be the set containing the numbers 1 and 2. A ab ab b ab ab 6 on copies of this diagram shade the following regions. Venn diagrams can be used to express the logical in the mathematical sense relationships between various sets.

Top 10 rrb ntpc questions based on asked questions in previous exam papers very important for the railway ntpc exam. The following examples should help you understand the notation terminology and concepts relating venn diagrams and set notation. It is done as per the following. Hauskrecht a subset definition.

5 vd ellipses colour gif 404 396 pixels 09 07 2006 10 31 pm. Volleyball drew glen jade but let s be more mathematical and use a capital letter for each set. Notation for setting out calculations so that counting problems such as this can be sorted out. 3 qp show sets p and q on a venn diagram.

Representation of sets in a venn diagram. 100 people speak english. The venn diagram makes the situation easy to visualise. Ab b use set notation to express the set ab in an alternative way.

A ab c. They are extensively used to teach set theory. T means the set of tennis players. Venn diagrams a set can be visualized using venn diagrams.

Show sets f and g on a venn diagram. 4 l a b a copy the venn diagram and shade the region. A universal set is a set from which all the member of the sets in a problem can be drawn.