Write an inequality for the given graph.

Accepted Solution

Answer:[tex]y<0.5x-3[/tex]Step-by-step explanation:Find the equation of the dashed lineThe line pass through the points[tex]A(0,-3)[/tex] -----> is the y-intercept of the line[tex]B(6,0)[/tex]Find the slope of the line mThe formula to calculate the slope between two points is equal to[tex]m=\frac{y2-y1}{x2-x1}[/tex]substitute the values[tex]m=\frac{0+3}{6-0}=0.5[/tex]Remember thatThe equation of the line into slope intercept form is equal to[tex]y=mx+b[/tex]we have[tex]m=0.5[/tex][tex]b=-3[/tex]  substitute[tex]y=0.5x-3[/tex]Find the inequalitywe know thatThe solution of the inequality is the shaded area below the dashed lineso[tex]y<0.5x-3[/tex]