Final answer:
The statement is true because with the use of subnet masks, VLSM, and CIDR, there is flexibility in the division of network and host bits in IP addressing, not a strict inverse relationship.
Step-by-step explanation:
The statement 'More bits for the network ID doesn't always mean fewer bits for the host ID' is True. In the context of IP addressing, the division of bits between network ID and host ID is dependent on the subnet mask used. A subnet mask determines how many bits are allocated for the network portion and the host portion of an IP address. However, with variable-length subnet masking (VLSM) and classless inter-domain routing (CIDR), the boundaries can change, providing flexibility in the allocation of network and host bits. Therefore, it is not a strict inverse relationship where allocating more bits to the network ID must reduce the number of bits for the host ID.