Question

Solve:$\frac{x}{4}>\frac{5x-2}{3}-\frac{7x-3}{5}$

Answer 1

$\frac{x}{4}>\frac{5x-2}{3}-\frac{7x-3}{5}$

$\Rightarrow \frac{x}{4}>\frac{25x-10-21x+9}{15}$

$\Rightarrow \frac{x}{4}>\frac{4x-1}{15}$

$\Rightarrow 15x>16x-4$

$\Rightarrow 15x-16x>16x-4-16x$

$\Rightarrow -x>-4$

$\Rightarrow x<4$

$\therefore x\in (-\infty ,4)$