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Question:

Which of the following is a true statement regarding his attempt at security in the situation that you are discussing wireless security with your client who tells you he feels safe with his network because he has turned off SSID broadcasting?

A Unauthorized users will still be able to connect because the SSID is still sent in all packets, and a sniffer can easily discern the string.
Explaination

Turning off an SSID's broadcast is a smart first step, but SSIDs have no security implications. The SSID is included in every packet, whether broadcast from the AP or not.