Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Textbook Question
Chapter 6.1, Problem 73E
Medicine The following excerpts appear in a home medical reference book. Source: American College of Physicians Complete Home Medical Guide.
(a) Can you climb one or two flights of stairs without shortness of breath or heaviness or fatigue in your legs?
(b) Regularly doing exercises that concentrate on strengthening particular muscle groups and improving overall flexibility can help prevent back pain and keep you mobile.
(c) If you answered yes to all of the questions above, you are reasonably fit.
(d) These chemical compounds act as natural antidepressants, and they can help you feel more relaxed.
(e) You may find that exercise helps you cope with stress.
Which of these excerpts are statements?
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Section 2.2 Subsets
71
Exercise Set 2.2
Practice Exercises
In Exercises 1-18, write or in each blank so that the resulting
statement is true.
1. {1, 2, 5}
{1, 2, 3, 4, 5, 6, 7}
2. {2, 3, 7}
{1, 2, 3, 4, 5, 6, 7}
3. {-3, 0, 3}
{-4,-3,-1, 1, 3, 4}
4. {-4, 0, 4}
5. {Monday, Friday}
{-3, -1, 1, 3}
{Saturday, Sunday, Monday, Tuesday, Wednesday}
6. {Mercury, Venus, Earth}
{Venus, Earth, Mars, Jupiter}
7. {x/x is a cat}
{xx is a black cat}
{x|x is a pure-bred dog}
ibrary
mbers,
ause the
entire
sual
8. {xx is a dog}
9. (c, o, n, v, e, r, s, a, t, i, o, n}
{v, o, i, c, e, s, r, a, n, t, o, n}
10. [r, e, v, o, l, u, t, i, o, n}
{t, o, l, o, v, e, r, u, i, n}
33. A = {x|x E N
and
5 < x < 12}
B
=
{x|x E N
and
2 ≤ x ≤ 11}
A_ B
34. A =
{x|x = N
and
3 < x < 10}
B =
A.
{x|x = N
and
2 ≤ x ≤ 8}
B
35. Ø
{7, 8, 9,..., 100}
36. Ø
_{101, 102, 103, . . ., 200}
37. [7, 8, 9,...}
38. [101, 102, 103, ...}
39. Ø
40. { }
{ }
e
In Exercises 41-54, determine whether each statement is true or
false. If…
A truck loaded with rocks weighs 14,260 lb. If the truck weighs 8420 lb, how much do the rocks weigh?
Find the lengths of r, s, t, and u shown in the figure below if r+s=34. Round your answers to the nearest tenth.
Note that the figure is not drawn to scale.
16
37°
r =
S
u =
t
S
u
24
☑
Chapter 6 Solutions
Finite Mathematics (11th Edition)
Ch. 6.1 -
Decide whether each of the following is a...Ch. 6.1 - Decide whether each of the following is a...Ch. 6.1 - Decide whether each of the following is a...Ch. 6.1 - Decide whether each of the following is a...Ch. 6.1 - Prob. 5ECh. 6.1 - Prob. 6ECh. 6.1 - Prob. 7ECh. 6.1 -
Decide whether each of the following is a...Ch. 6.1 - Prob. 9ECh. 6.1 - Prob. 10E
Ch. 6.1 - Prob. 11ECh. 6.1 - Prob. 12ECh. 6.1 - Decide whether each of the following is a...Ch. 6.1 - Decide whether each of the following is a...Ch. 6.1 - Give a negation of each inequality. y12Ch. 6.1 - Prob. 16ECh. 6.1 - Prob. 17ECh. 6.1 - Prob. 18ECh. 6.1 - Give a negation of each inequality. Try to negate...Ch. 6.1 - Give a negation of each inequality. Explain why...Ch. 6.1 - Let b represent the statement Im getting better...Ch. 6.1 -
Let b represent the statement “I’m getting...Ch. 6.1 - Let b represent the statement Im getting better...Ch. 6.1 - Let b represent the statement Im getting better...Ch. 6.1 -
Let b represent the statement “I’m getting...Ch. 6.1 - Let b represent the statement Im getting better...Ch. 6.1 - Use the concepts introduced in this section to...Ch. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Use the concepts introduced in this section to...Ch. 6.1 - Use the concepts introduced in this section to...Ch. 6.1 - Let p represent a false statement and let q...Ch. 6.1 - Let p represent a false statement and let q...Ch. 6.1 - Prob. 35ECh. 6.1 -
Let p represent a false statement and let q...Ch. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 -
Let p represent a false statement and let q...Ch. 6.1 - Prob. 42ECh. 6.1 - Prob. 43ECh. 6.1 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Let p represent a true statement, and q and r...Ch. 6.1 - Prob. 48ECh. 6.1 - Prob. 49ECh. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - Prob. 55ECh. 6.1 - Prob. 56ECh. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.1 - Prob. 59ECh. 6.1 - Prob. 60ECh. 6.1 - Prob. 61ECh. 6.1 - Prob. 62ECh. 6.1 - Prob. 63ECh. 6.1 - Prob. 64ECh. 6.1 - Prob. 65ECh. 6.1 - Income Tax The following excerpts appear in a...Ch. 6.1 - Prob. 67ECh. 6.1 - Prob. 68ECh. 6.1 - Prob. 69ECh. 6.1 - Prob. 70ECh. 6.1 - Prob. 71ECh. 6.1 - Prob. 72ECh. 6.1 -
Medicine The following excerpts appear in a home...Ch. 6.1 - Medicine The following excerpts appear in a home...Ch. 6.1 - Prob. 75ECh. 6.1 - Social Sciences Law The following excerpts appear...Ch. 6.1 - Social Sciences Law The following excerpts appear...Ch. 6.1 - Prob. 78ECh. 6.1 - Philosophy Read each of the following quotes from...Ch. 6.1 - Prob. 80ECh. 6.1 - Prob. 81ECh. 6.1 - Prob. 82ECh. 6.1 - Prob. 83ECh. 6.1 - Prob. 84ECh. 6.1 - Prob. 85ECh. 6.1 - Prob. 86ECh. 6.1 - APPLY IT Suppose the statements that Seattle won...Ch. 6.1 - General Interest Football For Exercises 8186, let...Ch. 6.2 - Give the number of rows in the truth table for...Ch. 6.2 -
Give the number of rows in the truth table for...Ch. 6.2 - Give the number of rows in the truth table for...Ch. 6.2 -
Give the number of rows in the truth table for...Ch. 6.2 -
Give the number of rows in the truth table for...Ch. 6.2 -
Give the number of rows in the truth table for...Ch. 6.2 - Give the number of rows in the truth table for...Ch. 6.2 - Give the number of rows in the truth table for...Ch. 6.2 - Construct a truth table for each compound...Ch. 6.2 - Construct a truth table for each compound...Ch. 6.2 -
Construct a truth table for each compound...Ch. 6.2 - Construct a truth table for each compound...Ch. 6.2 - Construct a truth table for each compound...Ch. 6.2 -
Construct a truth table for each compound...Ch. 6.2 -
Construct a truth table for each compound...Ch. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 -
Construct a truth table for each compound...Ch. 6.2 - Prob. 20ECh. 6.2 -
Construct a truth table for each compound...Ch. 6.2 - Prob. 22ECh. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 -
Write the negation of each statement, applying...Ch. 6.2 - Prob. 26ECh. 6.2 - Prob. 27ECh. 6.2 - Prob. 28ECh. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Prob. 31ECh. 6.2 - Write the negation of each statement, applying De...Ch. 6.2 -
Write the negation of each statement, applying...Ch. 6.2 -
Write the negation of each statement, applying...Ch. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 39ECh. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.2 -
44. eBay APPLY IT The eBay Buyer Protection plan...Ch. 6.2 - Guarantees The guarantee on a brand of vacuum...Ch. 6.2 - Prob. 46ECh. 6.2 - Prob. 47ECh. 6.2 - Prob. 48ECh. 6.2 - Prob. 49ECh. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Prob. 53ECh. 6.3 -
In Exercises 1–6, decide whether each statement...Ch. 6.3 - Prob. 2ECh. 6.3 - Prob. 3ECh. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - In a few sentences, explain how we determine the...Ch. 6.3 - Prob. 8ECh. 6.3 -
Tell whether each conditional is true or false....Ch. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Prob. 25ECh. 6.3 - Prob. 26ECh. 6.3 - Prob. 27ECh. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6.3 - Prob. 30ECh. 6.3 - Prob. 31ECh. 6.3 - Prob. 32ECh. 6.3 - Prob. 33ECh. 6.3 - Prob. 34ECh. 6.3 - Prob. 35ECh. 6.3 - Prob. 36ECh. 6.3 - Prob. 37ECh. 6.3 - Prob. 38ECh. 6.3 - Prob. 39ECh. 6.3 - Prob. 40ECh. 6.3 - Prob. 41ECh. 6.3 - Prob. 42ECh. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - Prob. 45ECh. 6.3 - Prob. 46ECh. 6.3 - Prob. 47ECh. 6.3 - Prob. 48ECh. 6.3 - Prob. 49ECh. 6.3 - Prob. 50ECh. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - Prob. 54ECh. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.3 - Prob. 57ECh. 6.3 - Prob. 58ECh. 6.3 - Prob. 59ECh. 6.3 - Prob. 60ECh. 6.3 - Prob. 61ECh. 6.3 - Prob. 62ECh. 6.3 -
In Exercises 61–68, construct a truth table to...Ch. 6.3 - Prob. 64ECh. 6.3 - Prob. 65ECh. 6.3 -
In Exercises 61–68, construct a truth table to...Ch. 6.3 - Prob. 67ECh. 6.3 - In Exercises 61 construct a truth table to prove...Ch. 6.3 -
Write a logical statement representing each...Ch. 6.3 - Prob. 70ECh. 6.3 - Prob. 71ECh. 6.3 - Prob. 72ECh. 6.3 -
Write a logical statement representing each...Ch. 6.3 - Prob. 74ECh. 6.3 - Prob. 75ECh. 6.3 - Prob. 76ECh. 6.3 - Prob. 77ECh. 6.3 - Draw circuits representing the following...Ch. 6.3 - Prob. 79ECh. 6.3 - Prob. 80ECh. 6.3 - Prob. 81ECh. 6.3 - Prob. 82ECh. 6.3 - Prob. 83ECh. 6.3 - Prob. 84ECh. 6.3 - Prob. 85ECh. 6.3 - Prob. 86ECh. 6.3 - Prob. 87ECh. 6.3 - Prob. 88ECh. 6.3 - Prob. 89ECh. 6.3 - Prob. 90ECh. 6.3 - Stocks An investor announces, If the value of my...Ch. 6.3 - Prob. 92ECh. 6.3 - Prob. 93ECh. 6.4 - For each given statement, write (a) the converse,...Ch. 6.4 - Prob. 2ECh. 6.4 -
For each given statement, write (a) the...Ch. 6.4 - Prob. 4ECh. 6.4 -
For each given statement, write (a) the...Ch. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 -
For each given statement, write (a) the...Ch. 6.4 - Prob. 11ECh. 6.4 - Prob. 12ECh. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Prob. 15ECh. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Prob. 19ECh. 6.4 - Prob. 20ECh. 6.4 - Prob. 21ECh. 6.4 - Prob. 22ECh. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Write each statement in the form "if p then q. All...Ch. 6.4 - Prob. 26ECh. 6.4 - Write each statement in the form "if p then q." A...Ch. 6.4 - Prob. 28ECh. 6.4 - Prob. 29ECh. 6.4 - Prob. 30ECh. 6.4 - Prob. 31ECh. 6.4 - Prob. 32ECh. 6.4 - Prob. 33ECh. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Prob. 37ECh. 6.4 - Prob. 38ECh. 6.4 - Prob. 39ECh. 6.4 - Prob. 40ECh. 6.4 - Prob. 41ECh. 6.4 - Prob. 42ECh. 6.4 - Prob. 43ECh. 6.4 - Prob. 44ECh. 6.4 - Prob. 45ECh. 6.4 - Prob. 46ECh. 6.4 - Prob. 47ECh. 6.4 - Prob. 48ECh. 6.4 - Prob. 49ECh. 6.4 - Prob. 50ECh. 6.4 - Prob. 51ECh. 6.4 - Prob. 52ECh. 6.4 - Prob. 53ECh. 6.4 - Prob. 54ECh. 6.4 - Sayings Rewrite each of the following statements...Ch. 6.4 - Prob. 56ECh. 6.4 - Prob. 57ECh. 6.5 - Each of the following arguments is either valid by...Ch. 6.5 - Prob. 2ECh. 6.5 - Each of the following arguments is either valid by...Ch. 6.5 - Prob. 4ECh. 6.5 -
Each of the following arguments is either valid...Ch. 6.5 - Prob. 6ECh. 6.5 - Each of the following arguments is either valid by...Ch. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 -
Each of the following arguments is either valid...Ch. 6.5 - Prob. 12ECh. 6.5 - Prob. 13ECh. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - Prob. 16ECh. 6.5 - Prob. 17ECh. 6.5 - Prob. 18ECh. 6.5 - Determine whether each argument is valid or...Ch. 6.5 -
Determine whether each argument is valid or...Ch. 6.5 - Prob. 21ECh. 6.5 - Prob. 22ECh. 6.5 - Prob. 23ECh. 6.5 - Prob. 24ECh. 6.5 - Prob. 25ECh. 6.5 - Prob. 26ECh. 6.5 - Prob. 27ECh. 6.5 - Prob. 28ECh. 6.5 - For Exercises #x2013;37, determine whether each of...Ch. 6.5 - Prob. 30ECh. 6.5 -
For Exercises 29-37, determine whether each of...Ch. 6.5 - For Exercises 2937, determine whether each of the...Ch. 6.5 - Prob. 33ECh. 6.5 - Prob. 34ECh. 6.5 - For Exercises 2937, determine whether each of the...Ch. 6.5 - Prob. 36ECh. 6.5 - Prob. 37ECh. 6.5 - Prob. 38ECh. 6.5 - Prob. 39ECh. 6.5 - Prob. 40ECh. 6.5 - Prob. 41ECh. 6.5 - Prob. 42ECh. 6.5 - Prob. 43ECh. 6.5 - Prob. 44ECh. 6.6 -
For Exercises 1–6, (a) write the statement...Ch. 6.6 - Prob. 2ECh. 6.6 - For Exercises 16, (a) write the statement...Ch. 6.6 - Prob. 4ECh. 6.6 -
For Exercises 1–6, (a) write the statement...Ch. 6.6 - Prob. 6ECh. 6.6 -
In Exercises 7–20, (a) represent the argument...Ch. 6.6 - Prob. 8ECh. 6.6 - Prob. 9ECh. 6.6 - Prob. 10ECh. 6.6 - Prob. 11ECh. 6.6 -
In Exercises 7–20, (a) represent the argument...Ch. 6.6 - Prob. 13ECh. 6.6 - Prob. 14ECh. 6.6 - Prob. 15ECh. 6.6 - Prob. 16ECh. 6.6 - Prob. 17ECh. 6.6 -
In Exercises 7–20, (a) represent the argument...Ch. 6.6 -
In Exercises 7–20, (a) represent the argument...Ch. 6.6 - Prob. 20ECh. 6.6 - Prob. 21ECh. 6.6 - Prob. 22ECh. 6.6 - Prob. 23ECh. 6.6 - Prob. 24ECh. 6.6 - Prob. 25ECh. 6.6 - Prob. 26ECh. 6.6 - Prob. 27ECh. 6.6 - Prob. 28ECh. 6.6 - Prob. 29ECh. 6.6 - Prob. 30ECh. 6.6 - Prob. 31ECh. 6.6 - Prob. 32ECh. 6.6 - Prob. 33ECh. 6.6 - Prob. 34ECh. 6.6 - Prob. 35ECh. 6.6 - Prob. 36ECh. 6.6 - Prob. 37ECh. 6.6 - Prob. 38ECh. 6.6 - Prob. 39ECh. 6.6 - Social Sciences Constitution Each of the following...Ch. 6.6 - Prob. 41ECh. 6.6 -
42. Bible Write the negation of each of the...Ch. 6.6 - Prob. 43ECh. 6.6 - Prob. 44ECh. 6.6 - Prob. 45ECh. 6.6 - Prob. 46ECh. 6.6 - Prob. 47ECh. 6.6 - Prob. 48ECh. 6 - Water, Water, Everywhere After an invigorating...Ch. 6 - Prob. 2EACh. 6 - Prob. 3EACh. 6 - Prob. 4EACh. 6 - Prob. 5EACh. 6 - Prob. 1RECh. 6 - Prob. 2RECh. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 -
Write the negation of each statement.
14. We...Ch. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Assume that p is true and that q and r are false....Ch. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Prob. 28RECh. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 -
42. (a) Consider The statement “If Shakespeare...Ch. 6 - Each of the following arguments is either valid by...Ch. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Determine whether each argument is valid or...Ch. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - Prob. 63RECh. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 - Prob. 67RECh. 6 - Prob. 68RECh. 6 - Prob. 69RECh. 6 - Prob. 70RECh. 6 - Prob. 71RECh. 6 - Prob. 72RECh. 6 - Prob. 73RECh. 6 - Prob. 74RECh. 6 - Prob. 75RECh. 6 - Prob. 76RECh. 6 - Prob. 77RECh. 6 -
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