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September 16th, 2018, 04:58 AM  #1 
Newbie Joined: Jun 2018 From: Brasil Posts: 20 Thanks: 0  algebraic structures
One can represent the set of real numbers by associating each number x belonging to the real to a point of a line r. From there, you can create a notation in the form of intervals represented by your training law. So, based on the following set, mark the right alternative: A = {XE Z / X <1.25} a) There would be only maximum element in A if x was less than or equal to 1.25. * b) There is no maximum element in this set, since A is infinite. * c) There is a larger element in this set that is x = 1.25. * d) The largest element in this set is x = 1. Can someone help please? 
September 16th, 2018, 06:21 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,107 Thanks: 1907 
If A = {x $\small\in\mathbb{Z}$  x < 1.25}, A is the set of all integers less than 1.25, and so choice (d) is correct. I don't understand why the problem contained the wording "a notation in the form of intervals represented by your training law". 

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