login - After installing mysql-server, and doing $mysql, mysql won't start. Mysqld.sock missing

First, I installed mysql-server

Next, I did

$mysql

I was going to add a database and edit some stuff.

But I got this error:

ERROR 2002 (HYOOO) : Can't connect to local MySQL server through socket '/var/run/mysqld/mysqld.sock' (2)

How do I fix this? Thanks for your time

Edit #1: I did this command:

$sudo service mysql start

And I got this back:

start: Unknown Job: mysql

Help?