Answer
$x\lt -1$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow x-4\lt -5$
Add $4$ to each side.
$\Rightarrow x-4+4\lt -5+4$
Simplify.
$\Rightarrow x\lt -1$
Hence, the solution is $x\lt -1$.
Use an open circle because $-1$ is not a solution.
Shade the number line on the left side.
