Respuesta :

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y\leq -\frac{5}{6}x+\frac{2}{3}[/tex]

we know that

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

[tex]y=-\frac{5}{6}x+\frac{2}{3}[/tex]

The slope of the solid line is negative [tex]m=-\frac{5}{6}[/tex]

The y-intercept of the solid line is [tex](0,\frac{2}{3})[/tex]

The x-intercept of the solid line is [tex](\frac{4}{5},0)[/tex]

using a graphing tool

Plot the intercepts, join the points and shaded the area below the solid line

The graph in the attached figure

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