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Quiz 3: 3.1-3.3 Name: Shavonda Phillips Attempt: 1 / 1 Out of: 20 Started: January 24, 2009 1:16pm Finished: January 24, 2009 1:54pm Time spent: 37 min. 40 sec. Student finished 1 hr, 22 min., 20 sec. ahead of the 120 min. time limit.

Question 1   (1 point) Construct a truth table for the statement. (r ---> ~q) Student response: Percent Value Correct Response Student Response Answer Choices a. r  q  (r→ ~q)

---------------- T  T     F T  F     F F  T     T F  F     T b. r  q  (r→ ~q)

---------------- T  T     T T  F     F F  T     T F  F     T 100.0% c. r  q  (r→ ~q)

---------------- T  T     F T  F     T F  T     T F  F     T

Correct, Page Ref: 123-124 d. r  q  (r→ ~q)

---------------- T  T     T T  F     T F  T     F F  F     F Score: 1 / 1 Question 2   (1 point) Construct a truth table for the statement. (~s ^ ~p) Student response: Percent Value Correct Response Student Response Answer Choices a. s   p     (~s ^ ~p) --------------------- T   T        F T   F        T F   T        T F   F        T 100.0% b. s   p    (~s ^ ~p) --------------------- T   T        F T   F        F F   T        F F   F        T

Correct, Page Ref: 112-116 c. s   p     (~s ^ ~p) --------------------- T   T        T T   F        F F   T        F F   F        T d. s   p    (~s ^ ~p) --------------------- T   T        F T   F        F F   T        F F   F        F Score: 1 / 1 Question 3   (1 point) Convert the compound statement into words.

 p = "Her name is Lisa." q = "She lives in Chicago." ~p Student response: Percent Value Correct Response Student Response Answer Choices a. Her name is Lisa. 100.0% b. Her name is not Lisa. Correct, Page Ref: 103 c. She does not live in Chicago. d. It is true her name is Lisa. Score: 1 / 1 Question 4   (1 point) Decide whether or not the following is a statement.

July 4th was a Monday. Student response: Percent Value Correct Response Student Response Answer Choices a. Statement 100.0% b. Not a statement. Correct, Page Ref: 101 Score: 1 / 1 Question 5   (1 point) Decide whether the statement is compound.

Computers are very helpful to people. Student response: Percent Value Correct Response Student Response Answer Choices a. Compound 100.0% b. Not compound. Correct, Page Ref: 101-102 Score: 1 / 1 Question 6   (1 point) Give the number of rows in the truth table for the compound statement.

(~p  v ~q) Student response: Percent Value Correct Response Student Response Answer Choices a. 16 b. 2 c. 8 100.0% d. 4 Correct, Page Ref: 114 Score: 1 / 1 Question 7   (1 point) Decide whether the statement is true or false. p = 7 < 8 q = 2 < 5 < 6 r = 3 < 2 (~p ^ q) v ~r Student response: Percent Value Correct Response Student Response Answer Choices 0.0% a. False Incorrect, Page Ref: 109-110 b. True Score: 0 / 1 Question 8   (1 point) Find the truth value of the compound statement. p is a true statement. q is a false statement. r is a false statement. (p v ~q)  ^  r Student response: Percent Value Correct Response Student Response Answer Choices a. True 100.0% b. False Correct, Page Ref; 108 Score: 1 / 1 Question 9   (1 point) Convert the compound statement into symbols.

p = "Jim plays football." q = "Michael plays basketball." Jim does not play football and Michael does not play basketball. Student response: Percent Value Correct Response Student Response Answer Choices a. ~p ^ q 100.0% b. ~p ^ ~q Correct, Page Ref: 102-103 c. p v ~q d. p v q Score: 1 / 1 Question 10   (1 point) Rewrite the statement using the 'if...then' connective. Rearrange the wording or words as necessary.

Cats chase mice. Student response: Percent Value Correct Response Student Response Answer Choices 100.0% a. If it is a cat, then it chases mice. Correct, Page Ref: 120 b. Cats chase mice. c. If cats chase, then they chase mice. d. If a cat is chasing it, then it is a mouse. Score: 1 / 1 Question 11   (1 point) Tell whether the conditional statement is true or false. T is a true statement. T ----> (2 = 7) Student response: Percent Value Correct Response Student Response Answer Choices a. True 100.0% b. False Correct, Page Ref: 122 Score: 1 / 1 Question 12   (1 point) Use De Morgan's laws to write the negation of the statement.

A day late and a dollar short. Student response: Percent Value Correct Response Student Response Answer Choices a. Not a day late and a dollar short. b. Not a day late and not a dollar short. c. A day late or not a dollar short. 100.0% d. Not a day late or not a dollar short. Correct, Page Ref: 117 Score: 1 / 1 Question 13   (1 point) Write a negation for the statement.

x < 88 Student response: Percent Value Correct Response Student Response Answer Choices 100.0% a. x ≥ 88 Correct, Page Ref: 102-104 b. x = 88 c. x > 88 d. ~x < 88 Score: 1 / 1 Question 14   (1 point) Write an equivalent statement that does not use the 'if...then' connective. Use the fact that p ----> q is equivalent to ~p v q. If the sun comes out Saturday, the flowers will open. Student response: Percent Value Correct Response Student Response Answer Choices a. The sun does not come out Saturday or the flowers will not open. b. The sun comes out Saturday and the flowers will not open. c. The sun does not come out Saturday but the flowers will not open. 100.0% d. The sun does not come out Saturday or the flowers will open. Correct, Page Ref: 125 Score: 1 / 1 Question 15   (1 point) Write the compound statement in symbols.

r = "The food is good." p = "I eat too much." q = "I'll exercise." If I eat too much, then I'll exercise. Student response: Percent Value Correct Response Student Response Answer Choices a. r ---> p 100.0% b. p ---> q Correct, Page Ref: 122-125 c. p v q d. q --> p Score: 1 / 1 Question 16   (1 point) Write the compound statement in words.

r = "The puppy is trained." p = "The puppy behaves well." q = "His owners are happy." ~(p ---> q) Student response: Percent Value Correct Response Student Response Answer Choices a. The puppy behaves well or his owners are happy. b. The puppy behaves well and his owners are happy. 100.0% c. It is not the case that if the puppy behaves well then his owners are happy. Correct, Page Ref: 122-125 d. If the puppy does not behave well then his owners are not happy. Score: 1 / 1 Question 17   (1 point) Write the negation of the conditional. Use the fact that p ---> q is equivalent to ~p v q.

If you give your coat to the doorman, he will give you a dirty look. Student response: Percent Value Correct Response Student Response Answer Choices 100.0% a. You give your coat to the doorman and he will not give you a dirty look. Correct, Page Ref: 125 b. You do not give your coat to the doorman and he will not give you a dirty look. c. If you give your coat to the doorman he will not give you a dirty look. d. You do not give your coat to the doorman and he will give you a dirty look. Score: 1 / 1 Question 18   (1 point) Decide whether the statement is true or false.

Each rational number is an integer. Student response: Percent Value Correct Response Student Response Answer Choices a. True 100.0% b. False Correct, Page Ref: 105 Score: 1 / 1 Question 19   (1 point) Decide whether the statement is true or false.

For every real number x, x < 9 and x > 8. Student response: Percent Value Correct Response Student Response Answer Choices 0.0% a. True Incorrect, Page Ref: 111-112 b. False Score: 0 / 1 Question 20   (1 point) True or false?

When using a truth table, the statement ~p ^ ~q is equivalent to ~(p v q). Student response: Percent Value Correct Response Student Response Answer Choices 100.0% a. True Correct, Page Ref: 126-127 b. False Score: 1 / 1 Total score: 18 / 20 = 90.0%

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