Question

Qual a solução da inequação $( \frac{1}{3} )^{x(x+1)} \geq (\frac{1}{3} ) ^{x+1}$ ?

Answer 1

$\left(\dfrac{1}{3}\right)^{x(x+1)}\ge\left(\dfrac{1}{3}\right)^{x+1}$

$x(x+1)\ge(x+1)$

$\dfrac{x(x+1)}{(x+1)}\ge\dfrac{(x+1)}{(x+1)}$

$x\ge1$.

$S=\{x\in\mathbb{R}~|~x\ge1\}$.