# View Results

View Results

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.

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Question 1   (1 point)
Construct a truth table for the statement.

(r —> ~q)
Student response:
Percent
Value
Correct
Response
Student
Response

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

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

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

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

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

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
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

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.”

Jim does not play football and Michael does not play basketball.
Student response:
Percent
Value
Correct
Response
Student
Response

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
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

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

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
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

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

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

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
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

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
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
100.0%

a.
True
Correct, Page Ref: 126-127

b.
False

Score:
1 / 1

Total score:
18 / 20 = 90.0%

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