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A solution to an undergrad math problem

Name: Anonymous 2011-09-02 18:54

I'm forced to take a set theory....

The homework question: Find two sets A and B such that A is a member of B and A is a subset of B. I talked to my classmates and all the answers seemed a bit strange. The most common answer seemed to be A = {} and B = {{}}. That doesn't really seem right. So here is what I came up with...

A = {7}
B = {{7}, 5, 7}

A is a member of B since {7} is in B.
A is a subset of B since 7 is in B.

Name: Anonymous 2011-09-03 9:49

Wouldn't two sets with the same contents satisfy the solution?

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