Question

Resolva a inequação 5(x+1) ≥ 2(x - 2)

Answer 1

5 . x + 5 >_ 2 . x - 4
5 x - 2 x >_ - 4 - 5
3 x >_ - 9
x >_ - 9 / 3
x >_ - 3

Answer 2

$\mathrm{5(x+1)\geq2(x-2)\ \to\ 5x+5\geq2x-4}\\\\ \mathrm{Subtraindo\ 2x\ e\ 5\ de\ ambos\ os\ lados,\ teremos\ que:} \\\\ \mathrm{5x-2x+5-5\geq2x-2x-4-5\ \to\ 3x\geq-9}\\\\ \mathrm{Dividindo\ ambos\ os\ lados\ por\ 3,\ teremos\ que:}\\\\ \mathrm{\dfrac{3x}{3}\geq\dfrac{-9}{3}}\ \to\ \mathbf{x\geq-3}$