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Slide 3 - 1 Copyright © 2009 Pearson Education, Inc. AND Active Learning Lecture Slides For use with Classroom Response Systems Chapter 3 Logic
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Slide 3 - 1Copyright © 2009 Pearson Education, Inc.
AND
Active Learning Lecture SlidesFor use with Classroom Response Systems
Chapter 3
Logic
Slide 3 - 2Copyright © 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 3 - 3Copyright © 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 3 - 4Copyright © 2009 Pearson Education, Inc.
Find the truth value of the statement.
If ice cream contains milk and a penny can cut wood, then the sky is blue.
a. True
b. False
c. Can’t determine
Slide 3 - 5Copyright © 2009 Pearson Education, Inc.
Find the truth value of the statement.
If ice cream contains milk and a penny can cut wood, then the sky is blue.
a. True
b. False
c. Can’t determine
Slide 3 - 6Copyright © 2009 Pearson Education, Inc.
Given that p is true, q is false, and r is true, determine the truth value of the statement.
a. True
b. False
c. Can’t determine
~ q ~ p r
Slide 3 - 7Copyright © 2009 Pearson Education, Inc.
Given that p is true, q is false, and r is true, determine the truth value of the statement.
a. True
b. False
c. Can’t determine
~ q ~ p r
Slide 3 - 8Copyright © 2009 Pearson Education, Inc.
Given that p is true, q is false, and r is true, determine the truth value of the statement.
a. True
b. False
c. Can’t determine
~ p r ~ q r
Slide 3 - 9Copyright © 2009 Pearson Education, Inc.
Given that p is true, q is false, and r is true, determine the truth value of the statement.
a. True
b. False
c. Can’t determine
~ p r ~ q r
Slide 3 - 10Copyright © 2009 Pearson Education, Inc.
Determine whether the two statements are equivalent.
a. Equivalent
b. Not Equivalent
c. Can’t determine
p ~ q, q ~ p
Slide 3 - 11Copyright © 2009 Pearson Education, Inc.
Determine whether the two statements are equivalent.
a. Equivalent
b. Not Equivalent
c. Can’t determine
p ~ q, q ~ p
Slide 3 - 12Copyright © 2009 Pearson Education, Inc.
Determine which, if any, of the three statements are equivalent.
a) If Kelly can sing, then she can dance.b) Kelly can sing and she can dance.c) If Kelly cannot sing, then she cannot dance.
a. a and b
b. a and c
c. b and c
d. None of the statements are equivalent.
Slide 3 - 13Copyright © 2009 Pearson Education, Inc.
Determine which, if any, of the three statements are equivalent.
a) If Kelly can sing, then she can dance.b) Kelly can sing and she can dance.c) If Kelly cannot sing, then she cannot dance.
a. a and b
b. a and c
c. b and c
d. None of the statements are equivalent.
Slide 3 - 14Copyright © 2009 Pearson Education, Inc.
Determine which, if any, of the three statements are equivalent.
a. a and b
b. a and c
c. b and c
d. None of the statements are equivalent.
• I ordered two pictures and one frame.b) I did not order two pictures and I ordered one frame.c) It is not true that I did not order two pictures or one frame.
Slide 3 - 15Copyright © 2009 Pearson Education, Inc.
Determine which, if any, of the three statements are equivalent.
a. a and b
b. a and c
c. b and c
d. None of the statements are equivalent.
• I ordered two pictures and one frame.b) I did not order two pictures and I ordered one frame.c) It is not true that I did not order two pictures or one frame.
Slide 3 - 16Copyright © 2009 Pearson Education, Inc.
Write the negation of the statement.
All robins can fly.
a. No robins can fly.
b. All robins cannot fly.
c. Some robins cannot fly.
d. Some robins can fly.
Slide 3 - 17Copyright © 2009 Pearson Education, Inc.
Write the negation of the statement.
All robins can fly.
a. No robins can fly.
b. All robins cannot fly.
c. Some robins cannot fly.
d. Some robins can fly.
Slide 3 - 18Copyright © 2009 Pearson Education, Inc.
Write the negation of the statement.
Some basketball players are tall.
a. No basketball players are tall.
b. All basketball players are not tall.
c. Some basketball players are not tall.
d. All basketball players are tall.
Slide 3 - 19Copyright © 2009 Pearson Education, Inc.
Write the negation of the statement.
Some basketball players are tall.
a. No basketball players are tall.
b. All basketball players are not tall.
c. Some basketball players are not tall.
d. All basketball players are tall.
Slide 3 - 20Copyright © 2009 Pearson Education, Inc.
Write the converse of the conditional statement.
If the apple is red, then I will eat it.
a. If I eat the apple, then it is red.
b. If the apple is not red, then I will eat it.
c. If I will not eat the apple, then it is not red.
d. If the apple is not red, then I will not eat it.
Slide 3 - 21Copyright © 2009 Pearson Education, Inc.
Write the converse of the conditional statement.
If the apple is red, then I will eat it.
a. If I eat the apple, then it is red.
b. If the apple is not red, then I will eat it.
c. If I will not eat the apple, then it is not red.
d. If the apple is not red, then I will not eat it.
Slide 3 - 22Copyright © 2009 Pearson Education, Inc.
Write the inverse of the conditional statement.
If the apple is red, then I will eat it.
a. If I eat the apple, then it is red.
b. If the apple is not red, then I will eat it.
c. If I will not eat the apple, then it is not red.
d. If the apple is not red, then I will not eat it.
Slide 3 - 23Copyright © 2009 Pearson Education, Inc.
Write the inverse of the conditional statement.
If the apple is red, then I will eat it.
a. If I eat the apple, then it is red.
b. If the apple is not red, then I will eat it.
c. If I will not eat the apple, then it is not red.
d. If the apple is not red, then I will not eat it.
Slide 3 - 24Copyright © 2009 Pearson Education, Inc.
Write the contrapositive of the conditional statement.
If the apple is red, then I will eat it.
a. If I eat the apple, then it is red.
b. If the apple is not red, then I will eat it.
c. If I will not eat the apple, then it is not red.
d. If the apple is not red, then I will not eat it.
Slide 3 - 25Copyright © 2009 Pearson Education, Inc.
Write the contrapositive of the conditional statement.
If the apple is red, then I will eat it.
a. If I eat the apple, then it is red.
b. If the apple is not red, then I will eat it.
c. If I will not eat the apple, then it is not red.
d. If the apple is not red, then I will not eat it.
