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September 16th, 2018, 03:58 AM   #1
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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?
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September 16th, 2018, 05:21 AM   #2
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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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