Question

Ajude-me por favor. Segue anexo Inequações

Answer 1

a) $\dfrac{y}{7}-\dfrac{y}{2}>1-2(y-1)$

$\dfrac{y}{7}-\dfrac{y}{2}>1-2y+2$

$\dfrac{y}{7}-\dfrac{y}{2}+2y>3$

$\dfrac{2y-7y+28y}{14}>3$

$\dfrac{23y}{14}>3$

$23y>42$

$y>\dfrac{42}{23}$


b) $\dfrac{x}{15}<\dfrac{x}{\frac{3}{5}}+1$

$\dfrac{x}{15}<\dfrac{x}{1}\cdot\dfrac{5}{3}+1$

$\dfrac{x}{15}<\dfrac{5x}{3}+1$

$\dfrac{x}{15}-\dfrac{5x}{3}<1$

$\dfrac{x-25x}{15}<1$

$x-25x<15$

$-24x<15$

$24x>-15$

$x>\dfrac{-15}{24}$

$x>\dfrac{-5}{8}$


c) $4-5m>0,3m-\dfrac{m}{2}$

$-5m-0,3m+0,5m<-4$

$-4,8m<-4$

$4,8m>4$

$m>\dfrac{4}{4,8}$

$m>\dfrac{1}{1,2}$

$m>\dfrac{1}{\frac{12}{10}}$

$m>\dfrac{10}{12}$

$m>\dfrac{5}{6}$