Let $a$ be the smallest integer satisfying the inequality $x^2 - 15 < 2x$, and let $b$ be the largest integer satisfying the same inequality. What is $b-a$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $a$ be the smallest integer satisfying the inequality $x^2 - 15 < 2x$, and let $b$ be the largest integer satisfying the same inequality. What is $b-a$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
6
Let $a$ be the smallest integer satisfying the inequality $x^2 - 15 < 2x$, and let $b$ be the largest integer satisfying the same inequality. What is $b-a$?
train