Iphone 5 will not identify mobile SIM

I have just recently purchased an iphone 5 and have not even had the chance to properly use it. I have insterted three SIMs in the phone and the first SIM was recognised however it was an invalid SIM which was the carriers fault, not Apple's. However I put another three in there and the SOS only has stayed. I have blown into the SIM tray, reset my iphone 5 and gone to my mobile carriers if they could help but nothing has worked. How can I make it detect the SIM?

All SIM cards doesn't work? Contact an apple store, or if you have apple care, call them.

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