Finite Mathematics for the Managerial, Life, and Social Sciences-Custom Edition
11th Edition
ISBN: 9781305283831
Author: Tan
Publisher: Cengage Learning
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Chapter A.3, Problem 38E
To determine
(a)
To represent:
The statement “if the unemployment rate does not decrease, consumer confidence will not improve.” symbolically.
To determine
(b)
To represent:
The statement “Consumer confidence will improve if and only if the unemployment rate does not decrease.” symbolically.
To determine
(c)
To represent:
The statement “A decreasing unemployment rate is a sufficient condition for consumer confidence to improve.” symbolically.
To determine
(d)
To represent:
The statement “A decreasing unemployment rate is a necessary and sufficient condition for consumer confidence to improve.” symbolically.
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Students have asked these similar questions
2. Determine the validity of the following argument.
If the stock market rises, then the bond market will fall.
The bond market did not fall.
.. The stock market did not rise.
Let r represent "The stock market rises." Let f represent "The bond market will fall."
1. Determine which of the following are statements, and classify each statement as either true or false.
(a) President George Washington was born in (e) Close the door.
Alabama.
(1) 2.3=7.
(g) 3x = 6.
(h) Help stop inflation.
(b) Good morning.
(c) 5+4=9.
(d) x+5=8.
2. Ifp is T and q is F, find the truth values of these statements. The form~() represents the negation of
everything inside the parentheses.
(a) (~p) ^q
(b) (~p) v (~q)
(c) ~(pvq)
3.
Find the truth values of the statements in Exercise 2 if p is T and q is T.
4. Find the truth values of the statements in Exercise 2 if p is F and q is F.
5.
In each of the parts that follow, construct two statements-one using and and the other using or-and
find the truth values of each.
(d) ~ (p ^ q)
(e) ~[(~p) ^q]
(f) ~(pv~q)
(a) November has 30 days. Thanksgiving is always on November 25.
(b) The smallest counting number is 2. 10 is not a multiple of 5.
(c) 2+3=4+1.
8.6 4.12.
(d) Triangles are not squares. 3 is smaller than 5.
6. Translate…
Formulate the following argument symbolically and determine whether each is
valid:
Let p: I study hard
q: I get an excellent grade
r: I get rich
1. If I study hard, then I get an excellent grade.
I study hard.
Therefore, I get an excellent grade.
2. If I study hard, then I get an excellent grade.
If I don't get rich, then I don't get an excellent grade.
Therefore, I get rich.
3. I study hard if and only if I get rich.
I get rich.
Therefore, I study hard.
4. If I study hard then I get an excellent grade or I get rich.
I don't get an excellent grade and I don't get rich.
Therefore, I don't study hard.
5. I get rich or I get and excellent grade.
I study hard.
Therefore, I don't get rich.
Chapter A Solutions
Finite Mathematics for the Managerial, Life, and Social Sciences-Custom Edition
Ch. A.1 - In Exercises 114, determine whether the statement...Ch. A.1 - Prob. 2ECh. A.1 - Prob. 3ECh. A.1 - Prob. 4ECh. A.1 - Prob. 5ECh. A.1 - Prob. 6ECh. A.1 - Prob. 7ECh. A.1 - Prob. 8ECh. A.1 - Prob. 9ECh. A.1 - Prob. 10E
Ch. A.1 - Prob. 11ECh. A.1 - Prob. 12ECh. A.1 - Prob. 13ECh. A.1 - Prob. 14ECh. A.1 - Prob. 15ECh. A.1 - Prob. 16ECh. A.1 - Prob. 17ECh. A.1 - Prob. 18ECh. A.1 - Prob. 19ECh. A.1 - Prob. 20ECh. A.1 - Prob. 21ECh. A.1 - Prob. 22ECh. A.1 - Prob. 23ECh. A.1 - Prob. 24ECh. A.1 - Prob. 25ECh. A.1 - Prob. 26ECh. A.1 - Prob. 27ECh. A.1 - Prob. 28ECh. A.1 - Prob. 29ECh. A.1 - Let p and q denote the propositions p: The...Ch. A.1 - Prob. 31ECh. A.1 - Prob. 32ECh. A.1 - Prob. 33ECh. A.2 - Prob. 1ECh. A.2 - Prob. 2ECh. A.2 - Prob. 3ECh. A.2 - Prob. 4ECh. A.2 - In Exercises 1-18, construct a truth table for...Ch. A.2 - Prob. 6ECh. A.2 - Prob. 7ECh. A.2 - In Exercises 1-18, construct a truth table for...Ch. A.2 - Prob. 9ECh. A.2 - Prob. 10ECh. A.2 - Prob. 11ECh. A.2 - Prob. 12ECh. A.2 - Prob. 13ECh. A.2 - Prob. 14ECh. A.2 - Prob. 15ECh. A.2 - Prob. 16ECh. A.2 - Prob. 17ECh. A.2 - Prob. 18ECh. A.2 - If a compound proposition consists of the prime...Ch. A.3 - In Exercises 14, write the converse, the...Ch. A.3 - In Exercises 14, write the converse, the...Ch. A.3 - Prob. 3ECh. A.3 - Prob. 4ECh. A.3 - Prob. 5ECh. A.3 - In Exercises 5 and 6, refer to the following...Ch. A.3 - Prob. 7ECh. A.3 - Prob. 8ECh. A.3 - Prob. 9ECh. A.3 - Prob. 10ECh. A.3 - Prob. 11ECh. A.3 - Prob. 12ECh. A.3 - Prob. 13ECh. A.3 - Prob. 14ECh. A.3 - Prob. 15ECh. A.3 - Prob. 16ECh. A.3 - Prob. 17ECh. A.3 - Prob. 18ECh. A.3 - Prob. 19ECh. A.3 - Prob. 20ECh. A.3 - Prob. 21ECh. A.3 - Prob. 22ECh. A.3 - Prob. 23ECh. A.3 - Prob. 24ECh. A.3 - Prob. 25ECh. A.3 - Prob. 26ECh. A.3 - Prob. 27ECh. A.3 - Prob. 28ECh. A.3 - Prob. 29ECh. A.3 - Prob. 30ECh. A.3 - Prob. 31ECh. A.3 - Prob. 32ECh. A.3 - Prob. 33ECh. A.3 - Prob. 34ECh. A.3 - Prob. 35ECh. A.3 - Prob. 36ECh. A.3 - Prob. 37ECh. A.3 - Prob. 38ECh. A.4 - Prove the idempotent law for conjunction, ppp.Ch. A.4 - Prob. 2ECh. A.4 - Prove the associative law for conjunction,...Ch. A.4 - Prob. 4ECh. A.4 - Prove the commutative law for conjunction, pqqp.Ch. A.4 - Prob. 6ECh. A.4 - Prob. 7ECh. A.4 - Prob. 8ECh. A.4 - Prob. 9ECh. A.4 - Prob. 10ECh. A.4 - Prob. 11ECh. A.4 - Prob. 12ECh. A.4 - Prob. 13ECh. A.4 - Prob. 14ECh. A.4 - Prob. 15ECh. A.4 - Prob. 16ECh. A.4 - Prob. 17ECh. A.4 - In exercises 9-18, determine whether the statement...Ch. A.4 - Prob. 19ECh. A.4 - Prob. 20ECh. A.4 - In Exercises 21-26, use the laws of logic to prove...Ch. A.4 - Prob. 22ECh. A.4 - In Exercises 21-26, use the laws of logic to prove...Ch. A.4 - In Exercises 21-26, use the laws of logic to prove...Ch. A.4 - In Exercises 21-26, use the laws of logic to prove...Ch. A.4 - Prob. 26ECh. A.5 - Prob. 1ECh. A.5 - Prob. 2ECh. A.5 - Prob. 3ECh. A.5 - Prob. 4ECh. A.5 - Prob. 5ECh. A.5 - Prob. 6ECh. A.5 - Prob. 7ECh. A.5 - Prob. 8ECh. A.5 - Prob. 9ECh. A.5 - In Exercises 116, determine whether the argument...Ch. A.5 - Prob. 11ECh. A.5 - Prob. 12ECh. A.5 - Prob. 13ECh. A.5 - Prob. 14ECh. A.5 - Prob. 15ECh. A.5 - Prob. 16ECh. A.5 - In Exercises 17-22, represent the argument...Ch. A.5 - Prob. 18ECh. A.5 - In Exercises 17-22, represent the argument...Ch. A.5 - In Exercises 17-22, represent the argument...Ch. A.5 - In Exercises 17-22, represent the argument...Ch. A.5 - Prob. 22ECh. A.5 - Prob. 23ECh. A.5 - Prob. 24ECh. A.5 - Prob. 25ECh. A.6 - In Exercises 1-5, find a logic statement...Ch. A.6 - Prob. 2ECh. A.6 - Prob. 3ECh. A.6 - Prob. 4ECh. A.6 - Prob. 5ECh. A.6 - Prob. 6ECh. A.6 - Prob. 7ECh. A.6 - Prob. 8ECh. A.6 - Prob. 9ECh. A.6 - Prob. 10ECh. A.6 - Prob. 11ECh. A.6 - Prob. 12ECh. A.6 - Prob. 13ECh. A.6 - In Exercise 12-15, find a logic statement...Ch. A.6 - Prob. 15ECh. A.6 - Prob. 16E
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