As a Ranger, you will be able to solo, as can any class. Your main attacks are with a bow and from behind.
The question is how hard of a mob will you be able to take?
You will do significant damage with the bow, but when the mob comes into melee range, you will loose your Ranger advantage.
Since your main attacks come from behind, it is difficult to get behind the mob to use your skills. You'll then be stuck with the mob always turning to face you, and you have to DPS it to death before it does the same to you.
You could try a stun-jump move. This takes some skill, and precises timing and positioning. You have an attack the stuns the mob for just a few seconds. Stun it and jump to the rear of the mob, following with a rear attack.
You may find you have to jump and turn and click-attack at the same time.
I've also seen Rangers bow-kite mobs as they continuously backpeddle in a circle. Just make sure you have a clear area to backpeddle else you gain more agro.
So take on mobs that are increasingly difficult to see where to cap. Make sure your armor and skills are upgraded, and you have good food/drink on.
Good luck.