How do you graph and solve  absx<=3?

$- 3 \le x \le 3$. See below on how to graph it.

Explanation:

When working with absolute values, remember that no matter the sign inside the absolute value function, it will always return a positive number.

If we had $\left\mid x \right\mid = 3$, we would have as solutions $x = 3$ and $x = - 3$ (because the negative sign is eliminated by the absolute value function).

We're asked for the range of values where $\left\mid x \right\mid \le 3$. 0 is a solution, as is 1, as is $- 1$. In fact, all the values between 3 and $- 3$ are solutions:

$- 3 \le x \le 3$

So there's our solution. To graph, we take the number line and put filled in dots on 3 and $- 3$ (to indicate they are part of the solution) and then draw a line segment connecting the two.