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# Draw loops for the categories. - PowerPoint PPT Presentation

Chapter 12: Draw Venn Diagrams.

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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?

Draw loops for the categories. 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. 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?

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. 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?

Loops contain 36.

H contains 46 – 36.

See what number answers the question. 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?

How many students did not like any of these types?

H contains 10

students.

Check the calculations. 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?

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

Strategy: 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?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.