Question
Asked Nov 19, 2019
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Graph the solution set of each system if inequalities. 

 X is greater than or = 0

X+Y is less than or equal to 4

2x+y is less than or equal to 5

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Expert Answer

Step 1

For the inequalities we make auxiliary equations. 

x=0 , x+y=4, 2x+y=5

x>0
x+y4
2x+y 5
x=0
X+y 4
2x+y 5
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x>0 x+y4 2x+y 5 x=0 X+y 4 2x+y 5

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Step 2

Then we make table for the equations.

х*у-4
y-4-x
2x-у-5
у-5-2х
x-0
4
3
3
2
O
3
2
2
2
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х*у-4 y-4-x 2x-у-5 у-5-2х x-0 4 3 3 2 O 3 2 2 2

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Step 3

Then plot the points and joi...

(0, 4)
(1,3)
C0-3)3
(1,3)
(2, 2)
(0,2)2
(2,1)
(0,1)10
0
2
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(0, 4) (1,3) C0-3)3 (1,3) (2, 2) (0,2)2 (2,1) (0,1)10 0 2

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