Answer: Third option
The region shaded above a solid boundary line
Step-by-step explanation:
The limit for inequality [tex]y\geq\frac{1}{3}x[/tex] is the line [tex]y=\frac{1}{3}x[/tex].
Note that the inequality includes all values of y that are greater than or equal to the function [tex]f(x)=\frac{1}{3}x[/tex]. . This means that the region includes all values of y that are above the line [tex]f(x)=\frac{1}{3}x[/tex]. .
Remember that inequality includes values that are greater than or equal to the line [tex]f(x)=\frac{1}{3}x[/tex], therefore all values belonging to the limit line [tex]f(x)=\frac{1}{3}x[/tex], are also part of the region. This is represented by delimiting the region with a solid line
Finally the answer is the third option