Question

Resolva a inequação
{ 3x + 4 ≤ 5x − 2
x − 1 ≥ 0

Answer 1

$\large\boxed{\begin{array}{l}\begin{cases}\sf 3x+4\leqslant5x-2\\\sf x-1\geqslant0\end{cases}\\\sf 3x+4\leqslant5x-2\\\sf 3x-5x\leqslant-2-4\\\sf-2x\leqslant-6\cdot(-1)\\\sf 2x\geqslant6\\\sf x\geqslant\dfrac{6}{2}\\\\\sf x\geqslant3~ s_1\\\sf x-1\geqslant0\\\sf x\geqslant1~s_2\\\underline{\rm fazendo~s_1\cap s_2~temos:}\\\sf S=\{x\in\mathbb{R}/x\geqslant3\}\end{array}}$