Question

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

Answer 1

Answer:

The graph in the attached figure

Step-by-step 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 $(0.25,0)$

$y\leq \frac{3}{2}x+2$ -----> inequality B  

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

The equation of the solid line is $y=\frac{3}{2}x+2$

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