The discussion revolves around the inequality x - 3 > 0, specifically seeking the first x value that satisfies this condition. The subject area pertains to algebra and inequalities.
Some participants have provided insights into the nature of real numbers and the absence of a smallest real number greater than 3. The discussion is ongoing, with various interpretations being explored.
Participants are considering the implications of different types of numbers (integers, rationals, reals) in relation to the inequality, which may affect their understanding of the problem.
Cinitiator said:Homework Statement
What's the first x value which satisfies x-3>0?
Homework Equations
x-3>0
The Attempt at a Solution
3 + an infinitesimal number would satisfy this, but I have no idea how to write it down in a proper algebraic form.
Mark44 said:What is x? Is it an integer, a rational, a real?