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What graph represents the system of linear inequalities? 4x+y>1 y≤32x+2

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3 votes

Answer:

The graph in the attached figure

Explanation:

we have


4x+y>1 -----> inequality A

The solution of the inequality A is the shaded area above the dashed line

The equation of the dashed line is
4x+y=1

The slope of the dashed line is negative

The y-intercept of the dashed line is the point
(0,1)

The x-intercept of the dashed line is the point
(0.25,0)


y\leq (3)/(2)x+2 -----> inequality B

The solution of the inequality B is the shaded area below the solid line

The equation of the solid line is
y=(3)/(2)x+2

The slope of the solid line is positive

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

The x-intercept of the solid line is the point
(-1.33,0)

using a graphing tool

The graph in the attached figure




What graph represents the system of linear inequalities? 4x+y>1 y≤32x+2-example-1
User Fresa
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