It’s probably because MySQL is installed but not yet running.
To verify that it’s running, open up Activity Monitor and under “All Processes”, search and verify you see the process “mysqld”.
You can start it by installing “MySQL.prefPane”.
Here is the complete tutorial which helped me:
http://obscuredclarity.blogspot.in/2009/08/install-mysql-on-mac-os-x.html
You’ll need to start MySQL before you can use the mysql command on your terminal. To do this, run brew services start mysql. By default, brew installs the MySQL database without a root password. To secure it run: mysql_secure_installation.
To connect run: mysql -uroot. root is the username name here.