Question

Quantas soluções inteiras possui a
inequação x2 - x < O?
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Answer 1

$\sf{x^2-x\textless0}$

$\sf{f(x)=x^2-x}$

$\sf{x^2-x=0}\\\sf{x\cdot(x-1)=0}\\\sf{x=0~ou~x-1=0\implies x=1}\\\sf{f(x)\textless0\implies 0\textless x\textless1}\\\sf{S=\{x\in\mathbb{R}/0\textless x\textless1\}}$