Question

Me ajudam, por favor!

Marco a melhor resposta!

Answer 1

$\mathrm{(x-4)^2\ \textless \ (x-3)^2\ \to\ x^2-2.4x+4^2\ \textless \ x^2-2.3x+3^2}\\\\ \mathrm{-8x+16\ \textless \ -6x+9\ \to\ 16-9\ \textless \ -6x+8x}\\\\ \mathrm{7\ \textless \ 2x\ \to\ \dfrac{7}{2}\ \textless \ x\ \to\ \boxed{\mathbf{S=\bigg\{x\in\mathbb{R}\ |\ x\ \textgreater \ \dfrac{7}{2}\bigg\}}}}$

$\mathrm{2-\dfrac{x-1}{10}\leq5\ \to\ \dfrac{2.10-(x-1)}{10}\leq5}\\\\ \mathrm{20-x+1\leq10.5\ \to\ 21-x\leq50}\\\\ \mathrm{21-50\leq x\ \to\ -29\leq x\ \to\ \boxed{\mathbf{S=\{x\in\mathbb{R}\ |\ x\geq-29\}}}}$