Answer:
[tex]y<0.5x-3[/tex]
Step-by-step explanation:
Find the equation of the dashed line
The 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 m
The 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 that
The 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 inequality
we know that
The solution of the inequality is the shaded area below the dashed line
so
[tex]y<0.5x-3[/tex]
