Respuesta :

gmany
[tex]y < \dfrac{1}{3}x-2\\\\y=\dfrac{1}{3}x-2\\\\for\ x=0\to y=\dfrac{1}{3}\cdot0-2=-2\to(0;-2)\\\\for\ x=6\to y=\dfrac{1}{3}\cdot6-2=2-2=0\to(6;\ 0)[/tex]



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Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y< \frac{1}{3}x-2[/tex]

The solution of the inequality is the shaded area below the dashed line

The equation of the line is [tex]y= \frac{1}{3}x-2[/tex]

The slope of the line is positive [tex]m= \frac{1}{3}[/tex]

The y-intercept of the line is the point [tex](0,-2)[/tex]

The x-intercept of the line is the point [tex](6,0)[/tex]

so

The graph in the attached figure

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