It is up to you. Brown tips clearly indicate a problem, usually watering, soil imbalance or too much fertilizing. There is no need to do it. That is a dead part of the leaf and will cause no further damage.
First, do you know what caused it, and have you corrected it? Looking at the soil, watering seems to be the first suspect. Personally, since you just transplanted the plant, I'd give it a few days to establish, before doing anything.
You can cut off the brown tips if you think it is an aesthetic issue. Be careful to cut to the edge, leaving perhaps a little brown sliver, so that the plant doesn't have a new injury to heal.
On the leaf where the damage is to the side, you can cut the leaf all the way to the bottom of the injury, if you so desire.