Prologue :
It's the 21st century, and Inuyasha's story isn't quite the same. There is no sacred jewel, or at least not yet, but that doesn't matter, for we are focusing on Inuyasha's back-story and current situation. Of course, this includes Sesshomaru...
Inuyasha was born from a very important, and rich father, and a very introverted and quiet mother. She was his personal assistant, that is how they met. Inuyasha has a half brother, although rude and stubborn, he was still his sibling none the less. He was named Sesshomaru, and said brother judged Inuyasha for he was born from a 'non-noble' woman and not a rich entrepreneur like his own mom. Inu was sad for Sesshy's mom, (yes, I chose those nicknames :3) for she passed away from depression. From that moment on, the eldest resented his father and blamed said parent for his mother's death. But, one day, he had lost his father as well, (and his step-mother, Lady Izaoi (Inu's mom) although he hadn't cared much for her) and blamed it on no other than Inuyasha. They had died protecting him, his half brother, no, this half-breed. So from then on, he blamed his brother for the death of his mother, his father, and for his step mother.
Inuyasha was only five years old and he was already being blamed for three deaths. He didn't even know the meaning of death, only that it meant that it would take people away. His only family was his big brother, which he loved and cared for, but little did he know, the feeling wasn't mutual...
Sesshomaru would not accept the halfbreed as one of his own, his own flesh and blood. No, he would shun him, ship him away to foster-care, like a parcel, forever. Another argument to convince himself that he was making the right decision, was, that he had not reached the legal age to become a guardian, neither in demon or human law. Although he could let the servants take care of him, he still did not feel like raising a child, nonetheless spend expenses on one. His father might've scolded his decision, or worse, but he would object to such things like parenting, especially to a hanyou. His father's will said that when it would be Inuyasha's twentieth birthday he would retrieve what Inutaisho had left him from his possessions. It was the law, and as much as Sesshomaru wanted to change that, he couldn't take away what belonged, un-fortunately, to his "brother".