Question

Identify the solution set for $\frac{x-1}{3}+4<\frac{x-5}{5}-2$

• A. $(-\infty ,-50)$
• B. $(-\infty ,-5)$
• C. $(-\infty ,-10)$
• D. $(-\infty ,-15)$

Answer 1

The correct option is A $(-\infty ,-50)$

$\frac{x-1}{3}+4<\frac{x-5}{5}-2$
$\frac{x-1+12}{3}<\frac{x-5-10}{5}$
$5x+55<3x-45$
$2x<-100$
$x<-50$
x lies in $(-\infty ,-50)$