SOLUTION MANUAL
Finite Mathematics & Its Applications
13th Edition by Larry J. Goldstein,
Chapters 1 - 12, Complete
, Contents
Chapterjo1: LinearjoEquationsjoandjoStraightjoLines 1–1
Chapterjo2: Matrices 2–1
Chapterjo3: LinearjoProgramming,joAjoGeometricjoApproach 3–1
Chapterjo4: ThejoSimplexjoMethod 4–1
Chapterjo5: SetsjoandjoCounting 5–1
Chapterjo6: Probability 6–1
Chapterjo7: ProbabilityjoandjoStatistics 7–1
Chapterjo8: MarkovjoProcesses 8–1
Chapterjo9: ThejoTheoryjoofjoGames 9–1
Chapterjo10 ThejoMathematicsjoofjoFinance 10–1
:
Chapterjo11 Logic 11–1
:
Chapterjo12 DifferencejoEquationsjoandjoMathematicaljoModels 12–1
:
, Chapterjo1
Exercisesjo1.1 5
6.j o Leftjo1,jodownj o
2
1. Rightjo2,joupjo3 y
y
(2,jo
3) x
x
(–1,j o –2
jo5jo)
7.j o Leftjo20,joupjo40
2. Leftjo1,joupj y
o4
y
(–20,jo40)
(–1,jo4)
x
x
8.j o Rightjo25,joupjo30
3.j o Downjo2 y
y
(25,jo30)
x
x
(0,jo–2)
9. PointjoQjoisjo2jounitsjotojothejoleftjoandjo2jounitsjoupjoor
4. Rightjo2
y (—2,jo2).
10. PointjoPjoisjo3jounitsjotojothejorightjoandjo2jounitsjodownjoo
(3,—2).
x
(2,jo 1jo
0) 11. —2(1)jo+jo (3)jo=jo—2jo+1jo=jo—1sojo yesjo thejo pointjo is
3
onjothejolin
e.
5. Leftjo2,joupj
o1 12. 1jo
y
—2(2)jo+jo (6)jo=jo—1joisjo false,jo sojo nojo thejo pointjo isjo not
3
onjothejolin
e
Copyrightjo©jo2023joPearsonjoEducation,jo 1-1
Inc.
, (–2,jo1)
x
1-2 Copyrightjo©jo2023joPearsonjoEducation,jo
Inc.
Finite Mathematics & Its Applications
13th Edition by Larry J. Goldstein,
Chapters 1 - 12, Complete
, Contents
Chapterjo1: LinearjoEquationsjoandjoStraightjoLines 1–1
Chapterjo2: Matrices 2–1
Chapterjo3: LinearjoProgramming,joAjoGeometricjoApproach 3–1
Chapterjo4: ThejoSimplexjoMethod 4–1
Chapterjo5: SetsjoandjoCounting 5–1
Chapterjo6: Probability 6–1
Chapterjo7: ProbabilityjoandjoStatistics 7–1
Chapterjo8: MarkovjoProcesses 8–1
Chapterjo9: ThejoTheoryjoofjoGames 9–1
Chapterjo10 ThejoMathematicsjoofjoFinance 10–1
:
Chapterjo11 Logic 11–1
:
Chapterjo12 DifferencejoEquationsjoandjoMathematicaljoModels 12–1
:
, Chapterjo1
Exercisesjo1.1 5
6.j o Leftjo1,jodownj o
2
1. Rightjo2,joupjo3 y
y
(2,jo
3) x
x
(–1,j o –2
jo5jo)
7.j o Leftjo20,joupjo40
2. Leftjo1,joupj y
o4
y
(–20,jo40)
(–1,jo4)
x
x
8.j o Rightjo25,joupjo30
3.j o Downjo2 y
y
(25,jo30)
x
x
(0,jo–2)
9. PointjoQjoisjo2jounitsjotojothejoleftjoandjo2jounitsjoupjoor
4. Rightjo2
y (—2,jo2).
10. PointjoPjoisjo3jounitsjotojothejorightjoandjo2jounitsjodownjoo
(3,—2).
x
(2,jo 1jo
0) 11. —2(1)jo+jo (3)jo=jo—2jo+1jo=jo—1sojo yesjo thejo pointjo is
3
onjothejolin
e.
5. Leftjo2,joupj
o1 12. 1jo
y
—2(2)jo+jo (6)jo=jo—1joisjo false,jo sojo nojo thejo pointjo isjo not
3
onjothejolin
e
Copyrightjo©jo2023joPearsonjoEducation,jo 1-1
Inc.
, (–2,jo1)
x
1-2 Copyrightjo©jo2023joPearsonjoEducation,jo
Inc.