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Which graph shows the solution to the system of linear inequalities? y < 2x – 5 y > –3x + 1 On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded. On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded. Mark this and return

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Answer:

See attachment

Step-by-step explanation:

To graph the inequality

[tex]y <2 x - 5[/tex]

We graph the dashed boundary line y=2x-5 with a positive slope of 2 and y-intercept (0,-5) and shade everything to the right.

To graph the inequality y>-3x+1, we graph the dashed boundary line y=-3x +1 with y-intercept (0,1) and shade every above it.

The intersection of the two shadings is the solution to the system of inequalities:

[tex]y < 2x - 5[/tex]

and

[tex]y > \: - 3x + 1[/tex]

See attached file.

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Answer:

Shaded region values will be the solution of the system of inequalities:

[tex]y<2x-5\\[/tex]

And,

[tex]y>-3x+1[/tex]

The graph is attached in the solution:

Step-by-step explanation:

Given information:

The inequality [tex]y<2x-5[/tex]

Now, the graph will be plotted accordingly with a positive slope

Having intercept (0,-5) and will obtain a shaded shaded region:

Now the graph of inequality [tex]y>-3x+1[/tex] will be plotted having intercept

(0,1) and a shaded region will be obtained.

The inequalities of the shaded region values will be the solution of the system of inequalities:

[tex]y<2x-5\\[/tex]

And,

[tex]y>-3x+1[/tex]

The graph is attached in the solution:

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