Out of Bounds rule 9-3

[Rookie]

Can someone clarify this rule for me? 1) If A1 is dribbling the ball and between dribbles he steps out of bounds, is this a OOB? 2) What if they push it up the court a couple of feet and then step out and back in? (I'm sure you have seen a player unguarded and push the ball up a couple of bounces and then catch up to it)

The Dribbler has committed a violation if he/she steps on or outside a boundry, even though he/she is not touching the ball while he/she is out of bounds.

My interpretation is that 1 is an OOB violation and 2 is not.