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13-05-2022
Mathematics

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Write a system of inequalities using the given graph

Write a system of inequalities using the given graph class=

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13-05-2022

For dark line

(0,1)
(-1,-4)

Slope

m=-4-1/-1=5

Equation in point slope form

y-1=5x
y=5x+1

Put (0,0)

0<1

As line is dark sign is ≤

The inequality

y≤5x+1

For dashed line

(2,0)
(0,-2)

Equation in intercept form

x/2-y/2=1
x-y=2
y=x-2

Put (0,0)

0>-2

Symbol is >

Inequality is

y>x-2

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