Question

Determine o Conjunto Soluçao de Cada Inequaçao Abaixo​

Answer 1

Resposta:

Explicação passo a passo:

$a)9x-5.(3-2x) > 7x+9\\9x-15+10x > 7x+9\\9x+10x-7x > 9+15\\12x > 24\\x > \frac{24}{12} \\x > 2$

$b)1-\frac{2-3n}{4}\leq \frac{n}{2}-\frac{1}{4}\\\\ 1\leq\frac{n}{2}-\frac{1}{4}+\frac{2-3n}{4}\\ \\1\leq\frac{2n}{4}-\frac{1}{4}+\frac{2-3n}{4} \\\\1\leq \frac{2n-1+2-3n}{4}\\\\1.4\leq 2n-1+2-3n\\\\4\leq 1-n\\\\4-1\leq -n\\3\leq -n$

$c)\frac{3x}{5}-\frac{1}{3}\neq \frac{x}{6}+2\\ \\\frac{3x}{5}-\frac{x}{6}\neq 2+\frac{1}{3}\\ \\\frac{18x}{30}-\frac{5x}{30}\neq \frac{6}{3}+\frac{1}{3}\\ \\ \frac{13x}{30}\neq\frac{7}{3}\\ \\ x\neq\frac{7.30}{3.13}\\ \\ x\neq\frac{7.10}{1.13}\\ \\x\neq\frac{70}{13}$

$d)-3.(2x-5) > 1-6x\\-6x+15 > 1-6x\\-6x+6x > 1-15\\0 > -14$