1. Chapter 3 Logic Active Learning Lecture Slides
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Active Learning Lecture Slides
For use with Classroom Response Systems
Chapter 3
Logic

2. Write the statement in symbolic form. p. Doug is an engineer. q
Write the statement in symbolic form. p. Doug is an engineer q. Mike is a musician r. Brian is a lawyer Mike is not a musician or Doug is not an engineer. a. b. c. d.

3. Write the statement in symbolic form. p. Doug is an engineer. q
Write the statement in symbolic form. p. Doug is an engineer q. Mike is a musician r. Brian is a lawyer Mike is not a musician or Doug is not an engineer. a. b. c. d.

4. Write the statement in symbolic form. p. Doug is an engineer. q
Write the statement in symbolic form. p. Doug is an engineer q. Mike is a musician r. Brian is a lawyer If Brian is a lawyer, then Mike is a musician and Doug is an engineer. a. b. c. d.

5. Write the statement in symbolic form. p. Doug is an engineer. q
Write the statement in symbolic form. p. Doug is an engineer q. Mike is a musician r. Brian is a lawyer If Brian is a lawyer, then Mike is a musician and Doug is an engineer. a. b. c. d.

6. Write the statement in symbolic form. p. Doug is an engineer. q
Write the statement in symbolic form. p. Doug is an engineer q. Mike is a musician r. 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.

7. Write the statement in symbolic form. p. Doug is an engineer. q
Write the statement in symbolic form. p. Doug is an engineer q. Mike is a musician r. 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.

8. Write each symbolic statement in words. p. Doug is an engineer. q
Write each symbolic statement in words. p. Doug is an engineer q. Mike is a musician r. 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.

9. Write each symbolic statement in words. p. Doug is an engineer. q
Write each symbolic statement in words. p. Doug is an engineer q. Mike is a musician r. 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.

10. Write each symbolic statement in words. p. Doug is an engineer. q
Write each symbolic statement in words. p. Doug is an engineer q. Mike is a musician r. 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.

11. Write each symbolic statement in words. p. Doug is an engineer. q
Write each symbolic statement in words. p. Doug is an engineer q. Mike is a musician r. 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.

12. Find the truth value of the statement. 3 – 8 = 5 or 14 – 8 = 6
a. True
b. False
c. Can’t determine

13. Find the truth value of the statement. 3 – 8 = 5 or 14 – 8 = 6
a. True
b. False
c. Can’t determine

14. Find the truth value of the statement
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

15. Find the truth value of the statement
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

16. 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

17. 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

18. 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

19. 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

20. Determine whether the two statements are equivalent.
a. Equivalent
b. Not Equivalent
c. Can’t determine

21. Determine whether the two statements are equivalent.
a. Equivalent
b. Not Equivalent
c. Can’t determine

22. Determine which, if any, of the three statements are equivalent
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.

23. Determine which, if any, of the three statements are equivalent
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.

24. Determine which, if any, of the three statements are equivalent.
a) 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.
a. a and b
b. a and c
c. b and c
d. None of the statements are equivalent.

25. Determine which, if any, of the three statements are equivalent.
a) 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.
a. a and b
b. a and c
c. b and c
d. None of the statements are equivalent.

26. Translate the following argument into symbolic form
Translate the following argument into symbolic form. Determine whether the argument is valid or invalid.
If Jenny gets some rest, then she will feel better.
If Jenny feels better, then she will help me paint my bedroom.
Therefore, if my bedroom is painted, then Jenny must have gotten some rest.

27. Translate the following argument into symbolic form
Translate the following argument into symbolic form. Determine whether the argument is valid or invalid.
If Jenny gets some rest, then she will feel better. If Jenny feels better, then she will help me paint my bedroom. Therefore, if my bedroom is painted, then Jenny must have gotten some rest.

28. Determine whether the syllogism is valid or is a fallacy.
Some teachers teach math. Some teachers teach English. Therefore, some teachers teach math and English.
a. Valid
b. Fallacy
c. Can’t determine

29. Determine whether the syllogism is valid or is a fallacy.
Some teachers teach math. Some teachers teach English. Therefore, some teachers teach math and English.
a. Valid
b. Fallacy
c. Can’t determine

30. 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.

31. 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.

32. 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.

33. 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.

34. Write the converse of the conditional statement
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.

35. Write the converse of the conditional statement
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.

36. Write the inverse of the conditional statement
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.

37. Write the inverse of the conditional statement
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.

38. Write the contrapositive of the conditional statement
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.

39. Write the contrapositive of the conditional statement
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.