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Identify the graph and describe the solution set of this system of inequalities. Y<-3x-2 y>-3x+8

1 Answer

2 votes

Answer:

The graph in the attached figure

Explanation:

we have

y < -3x-2 -----> inequality A

The solution of the inequality A is the shaded area below the dashed line y=-3x-2

The slope of the dashed line is negative m=-3

The-y-intercept of the dashed line is (0,-2)

The x-intercept of the dashed line is (-0.67,0)

y > -3x+8 -----> inequality B

The solution of the inequality B is the shaded area above the dashed line y=-3x+8

The slope of the dashed line is negative m=-3

The-y-intercept of the dashed line is (0,8)

The x-intercept of the dashed line is (2.67,0)

using a graphing tool

The system of inequalities y < -3x-2 and y > -3x+8 has no solution (parallel lines)

see the attached figure

Identify the graph and describe the solution set of this system of inequalities. Y-example-1
User Pradeep Deshmukh
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