Set A, determine whether P is a partition of A.

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For the given set A, determine whether P is a partition of A.

A= {1,2,3,4,5,6,7}, P={{1,3},{5,6},{2,4},{7}}

Is it correct to say that P is a partition of A?

Thank you
 
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Yes. What properties must P have and have you checked them?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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