Well, this is a very quick "comparison" of two worlds. On one side, there is Nikon D7100, 24mp DSLR with great Nikon 10-24/4 lens ($2000 kit). On the other side, there is iPhone 6 ($700) with 8mp camera. Well, Nikon will beat iPhone in almost all aspects - but only if you're a serious photographer. If you want to shoot some photos from your vacation and you'll present it on your computer, web or Apple TV - iPhone is the best compact camera on the market.
Here you can see some photos from both cameras, both on auto mode without any post-processing or HDR functions. I think that iPhone 6 is more capable camera than we all think. Keep in mind that you're comparing 8mp mobile with 24mp DSLR ;-).
Well, this is a really quick "comparison" but try to show these shots to your mother and ask her what photos are better. Think about it ;-).
Also, read my article Why digital cameras will die out soon.