Final answer:
Border routers do not route packets with private IPs to the Internet due to the private nature of these IP addresses and the use of NAT for public Internet communication.
Step-by-step explanation:
The statement 'Border routers do not route packets with private IPs to the Internet' is true. Private IP addresses are defined by RFC 1918 and are used internally within private networks. They are not routable on the public Internet. Instead, Network Address Translation (NAT) is used by routers, especially those at the border of a network, to translate private IP addresses to a public IP address that can be routed on the Internet. This ensures that internal network communications are isolated from the public Internet, which provides a level of security and also conserves public IP addresses.