4 3 Venn Diagram Venn Diagram is a

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4. 3 Venn Diagram • Venn Diagram is a way of representing sets and

4. 3 Venn Diagram • Venn Diagram is a way of representing sets and subsets using a rectangle and overlapping circles Total # of things A things in set A # of things not in set A or set B things in common between sets A and B B things in set B Things in common between set A and C Things in common between set B and C Total # of things A things in set A things B In set B Things in set C # of things not in c set A, B or C Things in common between set A, B, and C

1) There are 35 students in Mr. Smith’s math class. Ten students brought only

1) There are 35 students in Mr. Smith’s math class. Ten students brought only a pencil to class today. Eight students brought only a pen. Six students did not bring a pen or a pencil to class. How many students brought both a pen and a pencil to class? Draw a Venn diagram to show your results.

1. A research company surveyed 100 people and asked if they get their news

1. A research company surveyed 100 people and asked if they get their news by reading newspapers or watching television. Use the Venn diagram to answer the following questions. T. V. Fill in the missing Information 35 Paper 30 15 How many people receive news from the television? How many people receive news from the newspaper? How many people do not receive news from either the television or newspaper? How many people get the news from both the television and the newspaper?

Your Turn In a survey of 600 teenage shoppers at a large mall, 240

Your Turn In a survey of 600 teenage shoppers at a large mall, 240 said they shopped at Abernathy’s only, 210 said they shopped at Bongo Republic only, and 90 said they shopped at both stores. How many teenage shoppers surveyed did not shop at either store? Draw a Venn diagram to answer this question.

• The accompanying diagram shows the results of a survey asking which sports

• The accompanying diagram shows the results of a survey asking which sports the members of the Key Club watch on television. • • • Which statement or statements are true? I The most watched sport is tennis. II The least watched sport is baseball. III More Key Club members watch tennis than football. (1) I, only (3) I and II, only (2) II, only (4) II and III, only

• Seventy-eight students participate in one or more of three sports: baseball, tennis,

• Seventy-eight students participate in one or more of three sports: baseball, tennis, and golf. Four students participate in all three sports; five play both baseball and golf, only; two play both tennis and golf, only; and three play both baseball and tennis, only. If seven students play only tennis and one plays only golf, what is the total number of students who play only baseball? • (1) 12 (3) 56 • (2) 44 (4) 60