Question

Find the solution set of $\frac{3}{5}x-\frac{2x-1}{3}>1$.

Answer 1

$\frac{3x}{5}-\frac{2x-1}{3}>1$

$\Rightarrow \frac{9x-10x+5}{15}>1$

$\Rightarrow -x+5>15$

$\Rightarrow -x>15-5$

$\Rightarrow -x>10$

$\Rightarrow x<-10$

$\therefore x\in (-\infty ,-10)$