Graph the solution set of the system of inequalities.   y  <  x + 6 3x + 2y ≥ 12 x − 2y ≤ 1 Find the coordinates of all vertices. (If there is no solution, enter NO SOLUTION.) (x, y) =            (smal

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Graph the solution set of the system of inequalities.

 
y  <  x + 6
3x + 2y 12
x − 2y 1

Find the coordinates of all vertices. (If there is no solution, enter NO SOLUTION.)

(xy) = 
 
 
 
 
 
 (smaller x-value)
(xy) = 
 
 
 
 
 
 (larger x-value)


Determine whether the solution set is bounded.

The solution set is 
 
 
 
Graph the linear system, either by hand or using a graphing device.
 
2x  +  4y  =  0
−7x  −  14y  =  14

Use the graph to determine whether the system has one solution, no solution, or infinitely many solutions.

one solution no solution infinitely many solutions?


If there is exactly one solution, use the graph to find it. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.)

(x, y) =
Graph the linear system, either by hand or using a graphing device.
2х +
4v =
-7x - 14y = 14
10
9
Fill
4.
-10 -9
-8
-7 -6 -5 -4 -3
-2
-1
4
6
10
-1
-2
No
Solution
-4
-5
-6
-7
-8
-10
O Help
Transcribed Image Text:Graph the linear system, either by hand or using a graphing device. 2х + 4v = -7x - 14y = 14 10 9 Fill 4. -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 4 6 10 -1 -2 No Solution -4 -5 -6 -7 -8 -10 O Help
Graph the solution set of the system of inequalities.
y < x + 6
Зх + 2у 2 12
х- 2у < 1
10
Clear All
9
Delete
6
Fill
3
-10 -9 -8
-7 -6
-5 -4
-3
-2
-1
3
6
9
10
-1
-2
No
Solution
-3-
-7
-8
-10
Help
Transcribed Image Text:Graph the solution set of the system of inequalities. y < x + 6 Зх + 2у 2 12 х- 2у < 1 10 Clear All 9 Delete 6 Fill 3 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 3 6 9 10 -1 -2 No Solution -3- -7 -8 -10 Help
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