Question

Qual conjunto solução?0,5(1+x) > 1

Answer 1

Olá

Podemos reescrever 0,5 como $\frac{1}{2}$

Ai basta aplica a distributiva

$\frac{1}{2}(1+x)\ \textgreater \ 1 \\ \\ \frac{1}{2}+ \frac{x}{2} \ \textgreater \ 1 \\ \\ \frac{x}{2} \ \textgreater \ 1- \frac{1}{2} \\ \\ \frac{x}{2}\ \textgreater \ \frac{1}{2} \\ \\ \mathtt{x\ \textgreater \ \frac{1}{\diagup\!\!\!\!2}\cdot \diagup\!\!\!\!2 } \\ \\ \boxed{x\ \textgreater \ 1}$