Should I, Or Should I not..?

It would be better if you left the dog with your grandma. If your brother works all day & does not like the dog, you should definately try to take it to your grandmas house. If not, maybe you could have a friend come by and check on the dog. But I mean if all else fails, and your brother at least feeds and gives water to the dog, then it will be okay. Thats if your grandma cant watch the dog.