Graph this inequality:
y>–4
Plot points on the boundary line. Select the line to switch between solid and dotted. Select a region to shade it.
To graph the inequality y > -4, we will graph the boundary line y = -4 first:
- Plot a horizontal line that passes through y = -4.
- Since the inequality is strictly greater than (-4), we will use a dotted line to represent the boundary.
Next, we will shade the region above the boundary line to represent the solution to the inequality, since y is greater than -4.
Here is what the graph looks like:
\[
\begin{{array}}{{c}}
\begin{{array}}{{ccccc}}
| & \<= & \<= & \<= & | \\
| & -4 & 0 & 4 & | \\
\end{{array}} \\
\begin{{array}}{{|c|}}
\hline
y> -4 \\
\hline
\end{{array}}
\end{{array}}
\]
The shaded region is above the dotted line, indicating that any y-value greater than -4 would satisfy the inequality.