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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Slide 2 - 1Copyright © 2009 Pearson Education, Inc.
AND
Active Learning Lecture SlidesFor 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
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
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
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
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
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
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
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
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
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
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
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
Slide 2 - 14Copyright © 2009 Pearson Education, Inc.
AND
Active Learning Lecture SlidesFor use with Classroom Response Systems
Chapter 3
Logic
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
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
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
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
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
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
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
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
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
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
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