Mathematics: Which system of linear inequalities is represented by the graph? x – 5y –5 and y –2x – 4 x + 5y 5 and y 2x + 4 x – 5y –5 and y –2x + 4 x + 5y 5 and y 2x – 4

Which system of linear inequalities is represented

tyrareed702

02.01.2022

Step 1

Find the equation of the inequality of the solid red line

we know that

the equation of red the line is

x+5y=5

The solution is the shaded area above the solid line (see the given graph)

therefore

the inequality is equal to

$x+5y\geq 5$

Step 2

Find the equation of the inequality of the solid blue line

we know that

the equation of the blue line is

y=2x+4

The solution is the shaded area below the solid line (see the given graph)

therefore

the inequality is equal to

$y\leq2x+4$

therefore

the answer is

The system of linear inequalities is equal to

$x+5y\geq 5$ and $y\leq2x+4$

using a graphing tool

the solution of the system is the shaded area in the attached figure

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