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

Explanation:

The limit for inequality
`y\geq(1)/(3)x` is the line
`y=(1)/(3)x`.

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

Remember that inequality includes values that are greater than or equal to the line
`f(x)=(1)/(3)x`, therefore all values belonging to the limit line
`f(x)=(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