Final answer:
The WLAN security approach that uses RC4 as its encryption algorithm is WEP (Wired Equivalent Privacy), which is now obsolete due to security vulnerabilities.
Step-by-step explanation:
The approach to wireless LAN (WLAN) security that uses RC4 as its encryption algorithm is a) WEP (Wired Equivalent Privacy). WEP was one of the earliest security protocols introduced to provide data confidentiality comparable to that of a traditional wired network. However, due to security vulnerabilities in the way WEP uses the RC4 algorithm and key management flaws, it is now considered obsolete and has been replaced by more secure standards like WPA and WPA2, which use more advanced encryption methods.