Question

Qual a maior valor inteiro para x na inequação 2x-1/5 <2

Answer 1

$2x~-~\frac{1}{5}~<~2\\\\\\2x~<~2+\frac{1}{5}\\\\\\2x~<~\frac{2~.~5~+~1~.~5}{5}\\\\\\2x~<~\frac{10+5}{5}\\\\\\x~<~\frac{15}{5~.~2}\\\\\\x~<~\frac{15}{10}\\\\\\\boxed{x~<~\frac{3}{2}}~~~~ou~~~~\boxed{x~<~1,5}$

O valor de "x" deve ser menor que 1,5, logo o maior inteiro será 1.