Can't create database directory '/var/run/mysqld/mysqld.sock' code example

Example 1: can't connect to local mysql server through socket '/var/run/mysqld/mysqld.sock'

# Start your mysql server
/etc/init.d/mysql start

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

service mysql start

Example 3: how to connect to local MySQL server through socket '/var/run/mysqld/mysqld.sock' (2)

#/usr/sbin/mysqld --defaults-file=/etc/mysql/my.cnf --basedir=/usr --datadir=/var/lib/mysql --pid-file=/var/run/mysqld/mysqld.pid --socket=/var/run/mysqld/mysqld.sock