Question

0,2х-1 0,4х+2
----------- - ----------- >1
2 5​

Answer 1

(0,2x-1/2)*5-(0,4x+2/5)*2>1*10
5(0,2x-1)-2(0,4x+2)>10
x-5-0,8x-4>10
0,2x-9>10
0,2x>19
x>19:0,2
x>95

Answer 2

$\frac{0,2x-1}{2}-\frac{0,4x+2}{5}>1\\\\ \frac{\frac{1}{5}x-1 }{2}-\frac{\frac{2}{5}x+2 }{5}>1\\\\ \frac{\frac{x-5}{5} }{2}-\frac{\frac{2x+10}{5} }{5}>1\\\\\frac{x-5}{10} -\frac{2x+10}{25} >1\\\\5(x-5)-2(2x+10)>50\\\\5x-25-4x-20>50\\\\x-45>50\\\\x>50+45\\\\x>95$