Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 15EQ
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Can you solution with the step for step Picture
Transcribed Image Text:2x + 3y = 60
y 20
Solution: This system relates to inequality (1) at th
inequality is equivalent to y < -žr+20. The last
to points that are both on or to the right of the y-a
The desired region is unshaded in Figure 7.11.
30
FIGURE 7.11
Solution of a
system of linear inequalities.
PROBLEMSs 7.1
In Problems 1–24, solve the inequalities.
If a consumer wants to s
quantities x and y of twc
dollars per unit, respect
x, y > 0. In Problems 2.
combinations of purcha
of this system for the gi
1. 3x + 4y > 2
3. Зх-5у < 11
2. Зх — 2у > 12
4. y > 6 - 2x
5. -x < 2y – 4
6. 3x + 5y > 12
7. 3x +y < 0
8. 5x + 2y < 76
[3x – 2y < 6
S2x+ 3y > -6
25. pi = 6, p2 = 4, P
9.
10.
| 3х — у < 6
[2y – 3x < 6
x - 3y > 9
27. If a manufacturer
[2r+ 3y < 6
gaix >0
100 lb of product Z fr
inequalities that descr
that can be purchased
the plane.
11.
12.
x < 0
[2x + y < 10
Jx – y < 1
13.
14.
ly - x < 1
[2y < 4x + 2
1x+y< 5
2x – 2>y
15.
2x < 3 – 2y
28. Manufacturing
models of notebook
16.
y < 2x + 1
Lambert at 10.1 incl
(x+2y < 10teye o gnivl the number of Lamb
3x + 2y < 14
x-y>4
x < 2
y > -5
week. If the factory
models combined i
17.
18.
x > 1
ly > 2
situation.
[y< 2r +4
19.
ly<1
2x +y 2 6
x <y
y < 5x + 2
2x – 3y > –12
3x + y > -6
29. Manufacturin
chairs. The Sequo
worker-hour to
to assemble and 1
20.
x+y > 1
3x - 5<y
worker-hours ava
1.
22.
maximum numbe
y < 2x
(3x+y 56
x+y<4
x >0
y 2 0
y > x
per day. Write as
situation. Let x r
(5у - 2х < 10
in a day and y re
in a day. Find th
inequalities.
3.
24.
4x-6y < 12
y 2 0
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