Chapter 12: Draw Venn Diagrams

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# Chapter 12: Draw Venn Diagrams - PowerPoint PPT Presentation

Chapter 12: Draw Venn Diagrams.

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Presentation Transcript
Chapter 12:

Draw Venn Diagrams

In a poll of 46 students, 23 liked rap music, 24 liked rock music, and 19 liked country music. Of all the students, 12 liked rap and country, 13 liked rap and rock, and 14 liked country and rock. Of those students, 9 liked all three types of music. How many students did not like any of these types?
Fill loops from the inside out.

9 in all three loops.

D contains 12 – 9.

B contains 13 – 9.

F contains 14 – 9.

G contains

19 – (9 + 3 + 5).

C contains 24 – 18.

A contains 23 – 16.

Fill in the region outside the loops.

Loops contain 36.

H contains 46 – 36.

See what number answers the question.

How many students did not like any of these types?

H contains 10

students.

Check the calculations.

7 + 4 + 6 + 3 + 9 + 5 + 2 + 10 = ?

Strategy: Draw Venn diagrams
• Draw overlapping loops for intersecting sets.
• Fill regions from the inside out.
• Subtract carefully.
• After regions are filled, see what number answers the question.
• Check the calculations.