Answer
The graph is shown below:
Work Step by Step
Let us consider the inequality $ y\ge 3$ and substitute the equals symbol in place of the inequality and rewrite the equation as given below:
$ y=3$
The y-intercept is 3.
Then, take the origin $\left( 0,0 \right)$ as a test point and check the region in the graph to shade:
$\begin{align}
& y\ge 3 \\
& 0\ge 3
\end{align}$
So, the above expression is incorrect, which means the shaded region will not contain the test point; that is, the region away from the origin will be shaded. And the line passes through the point $\left( 0,3 \right)$.
Plot the graph using the intercepts as given below:
Thus, the graph of the provided inequality is plotted and the line passes through the point $\left( 0,3 \right)$. Also, we see that the shaded region does not contain the origin.
