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I'd like to ask you about the way to draw the number line for absolute value inequalities.

Is there any built-in tool?

In this case the input was $|x-6| > 3$.

My point is to achieve something like this:

enter image description here

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Take a look at NumberLinePlot.

NumberLinePlot[Abs[x - 6] > 3, {x, -3, 15}]

Mathematica graphics

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