SOLUTION MANUAL Il`
Finite Mathematics & Its Applications
Il` Il` Il` Il`
13th Edition by Larry J. Goldstein,
Il` Il` Il` Il` Il`
Chapters 1 - 12, Complete
Il` Il` Il` Il`
, Contents
Chapter 1: Linear Equations and Straight Lines
Il` Il̀ Il` Il` Il` 1–1
Chapter 2: Matrices
Il` 2–1
Chapter 3: Linear Programming, A Geometric Approach
Il` Il` Il` Il` Il` 3–1
Chapter 4: The Simplex Method
Il` Il` Il` 4–1
Chapter 5: Sets and Counting
Il` Il` Il` 5–1
Chapter 6: Probability
Il` 6–1
Chapter 7: Probability and Statistics
Il` Il` Il` 7–1
Chapter 8: Markov Processes
Il` Il` 8–1
Chapter 9: The Theory of Games
Il` Il` Il` Il` 9–1
Chapter The Mathematics of Finance
Il̀ Il` Il̀ 10–1
10:
Il̀
Chapter Logic 11–1
11:
Il`
Chapter Difference Equations and Mathematical Models
Il̀ Il̀ Il̀ Il̀ 12–1
12:
Il̀
, Chapter 1
Il`
Exercises 1.1 5
Il̀
6. Left 1, down
I l ` Il` Il` I l `
2
1. Right 2, up 3 Il` Il` Il`
y
y
(2, 3)
Il`
x
x
(–1, –25) Il ` Il̀
Il̀
7. Left 20, up 40
2. Left 1, up 4
I l ` Il` Il` Il`
Il` Il` Il`
y
y
(–20, 40)
(–1, 4)
Il`
Il`
x
x
8. Right 25, up 30
3. Down 2
I l ` Il` Il` Il`
I l ` Il`
y
y
(25, 30) Il`
x
x
(0, –2) Il`
9. Point Q is 2 units to the left and 2 units up or
4. Right 2
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
(—2,2).
Il`
y Il̀
10. Point P is 3 units to the right and 2 units down or
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
(3,—2).
(2, 0) x
1
Il`
11. —2(1)+ (3) =—2+1=—1so yes the point is
Il`
Il̀ Il̀ Il` Il̀ Il̀ Il̀ Il̀ Il` Il` Il` Il`
3
on the line. Il` Il`
1
5. Left 2, up 1 —2(2)+ (6) =—1is false, so no the point is not
Il`
Il` Il` Il`
12.
Il̀ Il̀ Il` Il̀ Il̀ Il` Il` Il` Il` Il` Il` Il`
y 3
on the line Il` Il`
Copyright © 2023 Pearson Education, Inc.
Il` Il` Il` Il` Il` 1-1
, (–2, 1)
x
Il`
1-2 Copyright © 2023 Pearson Education, Inc.
Il` Il` Il` Il` Il`
Finite Mathematics & Its Applications
Il` Il` Il` Il`
13th Edition by Larry J. Goldstein,
Il` Il` Il` Il` Il`
Chapters 1 - 12, Complete
Il` Il` Il` Il`
, Contents
Chapter 1: Linear Equations and Straight Lines
Il` Il̀ Il` Il` Il` 1–1
Chapter 2: Matrices
Il` 2–1
Chapter 3: Linear Programming, A Geometric Approach
Il` Il` Il` Il` Il` 3–1
Chapter 4: The Simplex Method
Il` Il` Il` 4–1
Chapter 5: Sets and Counting
Il` Il` Il` 5–1
Chapter 6: Probability
Il` 6–1
Chapter 7: Probability and Statistics
Il` Il` Il` 7–1
Chapter 8: Markov Processes
Il` Il` 8–1
Chapter 9: The Theory of Games
Il` Il` Il` Il` 9–1
Chapter The Mathematics of Finance
Il̀ Il` Il̀ 10–1
10:
Il̀
Chapter Logic 11–1
11:
Il`
Chapter Difference Equations and Mathematical Models
Il̀ Il̀ Il̀ Il̀ 12–1
12:
Il̀
, Chapter 1
Il`
Exercises 1.1 5
Il̀
6. Left 1, down
I l ` Il` Il` I l `
2
1. Right 2, up 3 Il` Il` Il`
y
y
(2, 3)
Il`
x
x
(–1, –25) Il ` Il̀
Il̀
7. Left 20, up 40
2. Left 1, up 4
I l ` Il` Il` Il`
Il` Il` Il`
y
y
(–20, 40)
(–1, 4)
Il`
Il`
x
x
8. Right 25, up 30
3. Down 2
I l ` Il` Il` Il`
I l ` Il`
y
y
(25, 30) Il`
x
x
(0, –2) Il`
9. Point Q is 2 units to the left and 2 units up or
4. Right 2
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
(—2,2).
Il`
y Il̀
10. Point P is 3 units to the right and 2 units down or
Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il` Il`
(3,—2).
(2, 0) x
1
Il`
11. —2(1)+ (3) =—2+1=—1so yes the point is
Il`
Il̀ Il̀ Il` Il̀ Il̀ Il̀ Il̀ Il` Il` Il` Il`
3
on the line. Il` Il`
1
5. Left 2, up 1 —2(2)+ (6) =—1is false, so no the point is not
Il`
Il` Il` Il`
12.
Il̀ Il̀ Il` Il̀ Il̀ Il` Il` Il` Il` Il` Il` Il`
y 3
on the line Il` Il`
Copyright © 2023 Pearson Education, Inc.
Il` Il` Il` Il` Il` 1-1
, (–2, 1)
x
Il`
1-2 Copyright © 2023 Pearson Education, Inc.
Il` Il` Il` Il` Il`
