Write an inequality to represent each graph, show your work

Write An Inequality To Represent Each Graph Show Your Work class=

Answer :

Problem B

Looking at the graph

The solution is the shaded area below the solid line

the inequality is of the form

[tex]y\leq mx+b[/tex]

so

Find out the equation of the solid line

we need two points

(0,-3) and (1,0)

Find out the slope

m=(0+3)/(1-0)

m=3

we have

b=-3 (y-intercept)

substitute

y=3x-3

therefore

the inequality is

[tex]y\leq3x-3[/tex]