Question

desigualdades de 2+x<9x+6

Answer 1

Hola.

$2+x\ \textless \ 9x+6 \\ \\ 2+x-2\ \textless \ 9x+6-2 \\ \\ x\ \textless \ 9x+4 \\ \\ x-9x\ \textless \ 9x+4-9x \\ \\ -8x\ \textless \ 4 \\ \\ \left(-8x\right)\left(-1\right)\ \textgreater \ 4\left(-1\right) \\ \\ 8x\ \textgreater \ -4 \\ \\ \frac{8x}{8}\ \textgreater \ \frac{-4}{8} \\ \\ \boxed{x\ \textgreater \ -\frac{1}{2}}$

$\begin{bmatrix}\mathrm{Solucion:}\:&\:x\ \textgreater \ -\frac{1}{2}\:\\ \:\mathrm{Decimal:}&\:x\ \textgreater \ -0.5\\ \mathrm{Notacion\:intervalo}&\:\left(-\frac{1}{2},\:\infty \:\right)\end{bmatrix}$

¡Espero haberte ayudado, saludos...!