Solve for xx and graph the solution on the number line below.8, x, is less than, 08x<0

To solve the inequality $8x < 0$, follow these steps:

1. Isolate the variable $x$: $8x < 0$

2. Divide both sides of the inequality by 8: $x < \frac{0}{8}$

3. Simplify the right side: $x < 0$

So, the solution to the inequality is $x < 0$.

Next, let's graph the solution on the number line:

1. Draw a horizontal line to represent the number line.
2. Mark the point $0$ on the number line.
3. Since $x$ is less than $0$, draw an open circle at $0$ to indicate that $0$ is not included in the solution.
4. Shade the number line to the left of $0$ to represent all numbers less than $0$.

The graph will look like this:

<---|---|---|---|---|---|---|---|---|---|--->
    -3  -2  -1   0   1   2   3

The shaded region to the left of $0$ represents the solution $x < 0$.