Question

Determine the inequality shown in the graph below. The inequality symbol can be entered using the toolbar

Answer 1

we have that

the solution is the shaded area above the dashed line

so

Find out the equation of the dashed line

we need two points

we take

(0,-2) and (4,0)

Find out the slope

m=(0+2)/(4-0)

m=2/4

m=1/2

the equation of the dashed line is

y=(1/2)x-2

therefore

the inequality that represents the graph is

y> (1/2)x-2

see the attached figure below