Starting a Proof for Show 4 < 5

Linz_14
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How do you start a proof for "Show 4 < 5"?
 
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State the definitions of 4, 5 and <.
 
I would start by proving 1 > 0, and then prove that if you add the same number to both sides of the inequality, it remains true.
 

Thread 'Finding the nth roots of a complex number'

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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