Why can't my iphone connect to my Wi-Fi?

I have an Iphone 4 with iOS 7.1.2 and I'm not finding any Wi-Fi, even when I rest my phone on/next to the modem. When I pull up the bottom menu, the Wi-Fi signal is greyed out and when I go to setting, Wi-Fi is off and faded and I can't turn it on.

Is it on airplane mode?

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