It is to do with direction of Low Press wind direction which moving anti clockwise
Yes.
So, imagine you are flying from east to west from the centre of a low through to the centre of the high. As you are going away from the centre of the low, the winds will rotate anticlockwise (as you’re in the northern hemisphere), hence you will be experiencing a crosswind from the North. As you approach the high, the winds will be rotating clockwise (as you are in the northern hems), so the first effect you will get is again a northerly crosswind. All the time your true altitude will be increasing.
If you continue to fly through the high to the other side of it, you will eventually start experiencing a crosswind from the south and your true altitude will start decreasing!
It’s much easier to understand if you draw a diagram resembling what I said above.
You can use the Ballots law but I didn’t bother with it.
Good luck