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Determine graphically the solution set for the system of inequalities:3x−8y ≤ −22x+2y ≤ 302x+y ≥ 8x ≥ 0, y ≥ 5

Question

Determine graphically the solution set for the system of inequalities:
3x−8y ≤ −22
x+2y ≤ 30
2x+y ≥ 8
x ≥ 0, y ≥ 5

check_circleAnswer
Step 1

According to the information, the set of equations are:

3х - 8y s-22
х + 2у <30
2х + у 28
х20
У25
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3х - 8y s-22 х + 2у <30 2х + у 28 х20 У25

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Step 2

To draw the graph, first write the equations as below:

3r - 8y 22
x2y 30
2x y8
y 5
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3r - 8y 22 x2y 30 2x y8 y 5

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Step 3

Now draw the above straight line and shade the reg...

25
2x y 8
X 2y=30
x0
20
3x-8y 22
B= (0, 15)
C(14,8
A=(0,8)
y 5
E(15 5
D=(5 8944742260975, 5)
-15
t0
15
20
25
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25 2x y 8 X 2y=30 x0 20 3x-8y 22 B= (0, 15) C(14,8 A=(0,8) y 5 E(15 5 D=(5 8944742260975, 5) -15 t0 15 20 25

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