Question

The equation y=1/3x is the boundary line for the inequality y>=1/3x. Which sentence describes the graph of the inequality?

Answer 1

Answer: Third option

The region shaded above a solid boundary line

Step-by-step explanation:

The limit for inequality $y\geq\frac{1}{3}x$ is the line $y=\frac{1}{3}x$.

Note that the inequality includes all values of y that are greater than or equal to the function $f(x)=\frac{1}{3}x$. . This means that the region includes all values of y that are above the line $f(x)=\frac{1}{3}x$. .

Remember that inequality includes values that are greater than or equal to the line $f(x)=\frac{1}{3}x$, therefore all values belonging to the limit line $f(x)=\frac{1}{3}x$, are also part of the region. This is represented by delimiting the region with a solid line

Finally the answer is the third option