SOLUTION: Calculate the number of subsets and the number of proper subsets for the given set. {x | x (element) N and 1 < x < 5}

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Question 910979: Calculate the number of subsets and the number of proper subsets for the given set.
{x | x (element) N and 1 < x < 5}
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x is a natural number and it's between 1 and 5 (excluding each endpoint)

So we have this set: {2, 3, 4}

There are 3 elements which means n = 3.

So there are 2^n = 2^3 = 8 subsets and (2^n)-1 = (2^3)-1 = 8-1 = 7 proper subsets.