Unable to access the BIG-IP GUI - Using Virtual Edition on Vmware Workstation.

This does not look to be a F5 problem, but a vmware configuration.

Run the following command in F5:

ifconfig eth0

Confirm that the IP for management is configured correctly, and take note of the mac address. After, go to the virtual machine settings, and confirm that the first network adapter matches the mac address for the management interface. Also, make sure your pc does have an IP in that network in the correct network adaptor.

You can also test SSH access, to see if works.