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It’s a lot easier if you let A = eat a cheeseburger and B = eat a hot dog. The common space shared by the two circles is people who eat cheeseburgers AND hot dogs, and that space includes me.
The white space around those circles has a bunch of vegans who don’t have fun at barbecues.
This post is wrong because that common space is living with you AND without you. The space Bono occupies is outside the bounds of both circles, where Bono hides his money in offshore bank accounts.