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Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

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Page 1: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 1Copyright © 2009 Pearson Education, Inc.

AND

Active Learning Lecture SlidesFor use with Classroom Response Systems

Chapter 2

Sets

Page 2: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 2Copyright © 2009 Pearson Education, Inc.

The Ice Cream Shoppe surveyed its customers about their preferences of three ice cream flavors. The results of the survey showed the following number of people liked the respective flavor(s):vanilla 170 vanilla & chocolate 100 chocolate 135 vanilla & strawberry 74strawberry 103 chocolate & strawberry 52all three 35 none of the three 7Draw a Venn diagram, then determine how many people completed the survey.

a. 224 b. 217

c. 231 d. 242

Page 3: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 3Copyright © 2009 Pearson Education, Inc.

The Ice Cream Shoppe surveyed its customers about their preferences of three ice cream flavors. The results of the survey showed the following number of people liked the respective flavor(s):vanilla 170 vanilla & chocolate 100 chocolate 135 vanilla & strawberry 74strawberry 103 chocolate & strawberry 52all three 35 none of the three 7Draw a Venn diagram, then determine how many people completed the survey.

a. 224 b. 217

c. 231 d. 242

Page 4: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 4Copyright © 2009 Pearson Education, Inc.

The Ice Cream Shoppe surveyed its customers about their preferences of three ice cream flavors. The results of the survey showed the following number of people liked the respective flavor(s):vanilla 170 vanilla & chocolate 100 chocolate 135 vanilla & strawberry 74strawberry 103 chocolate & strawberry 52all three 35 none of the three 7Draw a Venn diagram, then determine how many people liked only strawberry.

a. 11 b. 12

c. 17 d. 18

Page 5: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 5Copyright © 2009 Pearson Education, Inc.

The Ice Cream Shoppe surveyed its customers about their preferences of three ice cream flavors. The results of the survey showed the following number of people liked the respective flavor(s):vanilla 170 vanilla & chocolate 100 chocolate 135 vanilla & strawberry 74strawberry 103 chocolate & strawberry 52all three 35 none of the three 7Draw a Venn diagram, then determine how many people liked only strawberry.

a. 11 b. 12

c. 17 d. 18

Page 6: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 6Copyright © 2009 Pearson Education, Inc.

The Ice Cream Shoppe surveyed its customers about their preferences of three ice cream flavors. The results of the survey showed the following number of people liked the respective flavor(s):vanilla 170 vanilla & chocolate 100 chocolate 135 vanilla & strawberry 74strawberry 103 chocolate & strawberry 52all three 35 none of the three 7Draw a Venn diagram, then determine how many people liked vanilla & chocolate but not strawberry.

a. 35 b. 65

c. 39 d. 17

Page 7: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 7Copyright © 2009 Pearson Education, Inc.

The Ice Cream Shoppe surveyed its customers about their preferences of three ice cream flavors. The results of the survey showed the following number of people liked the respective flavor(s):vanilla 170 vanilla & chocolate 100 chocolate 135 vanilla & strawberry 74strawberry 103 chocolate & strawberry 52all three 35 none of the three 7Draw a Venn diagram, then determine how many people liked vanilla & chocolate but not strawberry.

a. 35 b. 65

c. 39 d. 17

Page 8: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 8Copyright © 2009 Pearson Education, Inc.

The Ice Cream Shoppe surveyed its customers about their preferences of three ice cream flavors. The results of the survey showed the following number of people liked the respective flavor(s):vanilla 170 vanilla & chocolate 100 chocolate 135 vanilla & strawberry 74strawberry 103 chocolate & strawberry 52all three 35 none of the three 7Draw a Venn diagram, then determine how many people liked vanilla or chocolate but not strawberry.

a. 35 b. 47

c. 82 d. 114

Page 9: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 9Copyright © 2009 Pearson Education, Inc.

The Ice Cream Shoppe surveyed its customers about their preferences of three ice cream flavors. The results of the survey showed the following number of people liked the respective flavor(s):vanilla 170 vanilla & chocolate 100 chocolate 135 vanilla & strawberry 74strawberry 103 chocolate & strawberry 52all three 35 none of the three 7Draw a Venn diagram, then determine how many people liked vanilla or chocolate but not strawberry.

a. 35 b. 47

c. 82 d. 114

Page 10: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 10Copyright © 2009 Pearson Education, Inc.

The Ice Cream Shoppe surveyed its customers about their preferences of three ice cream flavors. The results of the survey showed the following number of people liked the respective flavor(s):vanilla 170 vanilla & chocolate 100 chocolate 135 vanilla & strawberry 74strawberry 103 chocolate & strawberry 52all three 35 none of the three 7Draw a Venn diagram, then determine how many people liked exactly two flavors.

a. 35 b. 61

c. 156 d. 121

Page 11: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 11Copyright © 2009 Pearson Education, Inc.

The Ice Cream Shoppe surveyed its customers about their preferences of three ice cream flavors. The results of the survey showed the following number of people liked the respective flavor(s):vanilla 170 vanilla & chocolate 100 chocolate 135 vanilla & strawberry 74strawberry 103 chocolate & strawberry 52all three 35 none of the three 7Draw a Venn diagram, then determine how many people liked exactly two flavors.

a. 35 b. 61

c. 156 d. 121

Page 12: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 12Copyright © 2009 Pearson Education, Inc.

The Ice Cream Shoppe surveyed its customers about their preferences of three ice cream flavors. The results of the survey showed the following number of people liked the respective flavor(s):vanilla 170 vanilla & chocolate 100 chocolate 135 vanilla & strawberry 74strawberry 103 chocolate & strawberry 52all three 35 none of the three 7Draw a Venn diagram, then determine how many people liked only one flavor.

a. 12 b. 18

c. 31 d. 61

Page 13: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 13Copyright © 2009 Pearson Education, Inc.

The Ice Cream Shoppe surveyed its customers about their preferences of three ice cream flavors. The results of the survey showed the following number of people liked the respective flavor(s):vanilla 170 vanilla & chocolate 100 chocolate 135 vanilla & strawberry 74strawberry 103 chocolate & strawberry 52all three 35 none of the three 7Draw a Venn diagram, then determine how many people liked only one flavor.

a. 12 b. 18

c. 31 d. 61

Page 14: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 14Copyright © 2009 Pearson Education, Inc.

AND

Active Learning Lecture SlidesFor use with Classroom Response Systems

Chapter 3

Logic

Page 15: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 15Copyright © 2009 Pearson Education, Inc.

Write the statement in symbolic form.p. Doug is an engineerq. Mike is a musicianr. Brian is a lawyer

Mike is not a musician or Doug is not an engineer.

a.

b.

c.

d.

~ q p

~ q ~ p

q ~ p

~ q ~ p

Page 16: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 16Copyright © 2009 Pearson Education, Inc.

Write the statement in symbolic form.p. Doug is an engineerq. Mike is a musicianr. Brian is a lawyer

Mike is not a musician or Doug is not an engineer.

a.

b.

c.

d.

~ q p

~ q ~ p

q ~ p

~ q ~ p

Page 17: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 17Copyright © 2009 Pearson Education, Inc.

Write the statement in symbolic form.p. Doug is an engineerq. Mike is a musicianr. Brian is a lawyer

If Brian is a lawyer, then Mike is a musician and Doug is an engineer.

a.

b.

c.

d.

r q p

q p r

r q p

q p r

Page 18: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 18Copyright © 2009 Pearson Education, Inc.

Write the statement in symbolic form.p. Doug is an engineerq. Mike is a musicianr. Brian is a lawyer

If Brian is a lawyer, then Mike is a musician and Doug is an engineer.

a.

b.

c.

d.

r q p

q p r

r q p

q p r

Page 19: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 19Copyright © 2009 Pearson Education, Inc.

Write the statement in symbolic form.p. Doug is an engineerq. Mike is a musicianr. Brian is a lawyer

Doug is an engineer if and only if Brian is a lawyer and then Mike is not a musician.

a.

b.

c.

d.

p r ~ q

p r ~ q p r ~ q

p r ~ q

Page 20: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 20Copyright © 2009 Pearson Education, Inc.

Write the statement in symbolic form.p. Doug is an engineerq. Mike is a musicianr. Brian is a lawyer

Doug is an engineer if and only if Brian is a lawyer and then Mike is not a musician.

a.

b.

c.

d.

p r ~ q

p r ~ q p r ~ q

p r ~ q

Page 21: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 21Copyright © 2009 Pearson Education, Inc.

Write each symbolic statement in words.p. Doug is an engineerq. Mike is a musicianr. Brian is a lawyer

a. If it is true that Doug is an engineer and Brian is a lawyer, then Mike is not a musician.

b. If it is true that Doug is an engineer or Brian is a lawyer, then Mike is not a musician.

c. If it is not true that Doug is an engineer or Brian is a lawyer, then Mike is not a musician.

d. If it is not true that Doug is an engineer and Brian is a lawyer, then Mike is not a musician.

~ p r ~ q

Page 22: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 22Copyright © 2009 Pearson Education, Inc.

Write each symbolic statement in words.p. Doug is an engineerq. Mike is a musicianr. Brian is a lawyer

a. If it is true that Doug is an engineer and Brian is a lawyer, then Mike is not a musician.

b. If it is true that Doug is an engineer or Brian is a lawyer, then Mike is not a musician.

c. If it is not true that Doug is an engineer or Brian is a lawyer, then Mike is not a musician.

d. If it is not true that Doug is an engineer and Brian is a lawyer, then Mike is not a musician.

~ p r ~ q

Page 23: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 23Copyright © 2009 Pearson Education, Inc.

Write each symbolic statement in words.p. Doug is an engineerq. Mike is a musicianr. Brian is a lawyer

a. Brian is a lawyer and Mike is a musician, or Doug is not an engineer.

b. Brian is a lawyer or Mike is a musician, and Doug is not an engineer.

c. If Brian is a lawyer or Mike is a musician, then Doug is not an engineer.

d. If Brian is a lawyer or Mike is a musician, then Doug is an engineer.

r q ~ p

Page 24: Slide 2 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 2 Sets

Slide 2 - 24Copyright © 2009 Pearson Education, Inc.

Write each symbolic statement in words.p. Doug is an engineerq. Mike is a musicianr. Brian is a lawyer

a. Brian is a lawyer and Mike is a musician, or Doug is not an engineer.

b. Brian is a lawyer or Mike is a musician, and Doug is not an engineer.

c. If Brian is a lawyer or Mike is a musician, then Doug is not an engineer.

d. If Brian is a lawyer or Mike is a musician, then Doug is an engineer.

r q ~ p